cube root definition

In algebra, a cube root of a number, denoted as `root(3)(x)` or x1/3. cube root A number or an expression, when multiplied together three times, produces a given number. For example, since . It is possible to get the cube root of a negative number. A cube root goes the other direction:. noun The number which produces a given number when cubed. The opposite of squaring and cubing are called square root and cube root. Dictionary entry overview: What does cube root mean? to calculate the cube root of 8 , enter cube_root(`8`) , the result is 2. Squares, cubes and higher powers are shown as small digits called indices. For example, the real cube root of 8 is 2, because 2³ = 8. (noun) Dictionary ! If x and y are allowed to be complex, then there are three solutions (if x is non-zero) and so x has three cube roots. What does cube-root mean? Cube roots is a specialized form of our common radicals calculator. Definition:This describes a "long hand" or manual method of calculating or extracting cube roots. In mathematics, a cube root of a number, denoted or x1/3, is a number a such that a³ = x. All Free. A real number has one real cube root and two further cube roots which form a complex conjugate pair. • CUBE ROOT (noun) The noun CUBE ROOT has 1 sense:. Cube Root of Unity is refrred as the Cube Root of 1. This is the British English definition of cube root.View American English definition of cube root. Definition of cube root written for English Language Learners from the Merriam-Webster Learner's Dictionary with audio pronunciations, usage examples, and count/noncount noun labels. For example, the cube root of 8 is 2. n-count usu sing, the N of n The cube root function to determine the cube root of a number, here are some examples of special cubic roots given by the online calculator. Menu. See also. The Cube Root Calculator will calculate the cube root of any number and all you have to do to calculate the cube root is to just enter in any number and press the calculate button! Definition of cube-root noun in Oxford Advanced Learner's Dictionary. For example, the cube root of −125 is −5 since (−5) × (−5) × (−5) = −125. A number whose cube is equal to a given number. Cube definition, a solid bounded by six equal squares, the angle between any two adjacent faces being a right angle. The cube root is therefore an n th root with. Cube Root. For example, the cube root of 27, denoted as 3 √27, is 3, because when we multiply 3 by itself three times we get 3 x 3 x 3 = 27 = 3 3. View the pronunciation for cube root. 0. 1. a number that when multiplied three times equals a given number Familiarity information: CUBE ROOT used as a noun is very rare. So, if a cube represents a number multiplied by itself thrice, the cube root of a number represents the number that is multiplied 3 times to give the original number. Cube root is the opposite of cubing Number = 2 Cube of number = 2 3 = 8 ∴ Cube root of 8 = 2 We write ∛8 = 2 Let’s look at cube roots of some numbers Subscribe to our Youtube Channel - https://you.tube/teachoo. Cubic root synonyms, Cubic root pronunciation, Cubic root translation, English dictionary definition of Cubic root. American Heritage® Dictionary of the English Language, Fifth Edition. We use cookies to enhance your experience on our website, including to provide targeted advertising and track usage. Every real number has a unique real cube root, and every nonzero complex number has three distinct cube roots. It is also called as de Moivre system. cube root (cube roots plural ) Thecube rootof a number is another number that makes the first number when it is multiplied by itself twice. countable noun [usu sing, the N of n] The cube root of a number is another number that makes the first number when it is multiplied by itself twice. A number that must be multiplied times itself three times to equal a given number. Cube root of number is a value which when multiplied by itself thrice or three times produces the original value. For example, the cube root of 8 is 2. Meaning, pronunciation, picture, example sentences, grammar, usage notes, synonyms and more. The cube root symbol is a grouping symbol, meaning that all operations in the radicand are grouped as if they were in parentheses. So, we can say, the cube root gives the value which is basically cubed. All real numbers have exactly one real cube root and a pair of complex conjugate roots, and all nonzero complex numbers have three distinct complex cube roots. Definition and synonyms of cube root from the online English dictionary from Macmillan Education. Hence, if the value of 2 3 = x, then x3 =2 and we need to find here the value of x. If this definition is used, the cube root of a negative number is a negative number. Cube Root. The schoolbook definition of the cube root of a negative number is. Notice that the symbol for cube root is the radical sign with a small three (called the index) above and to the left . Given a number x, the cube root of x is a number a such that a 3 = x.If x positive a will be positive, if x is negative a will be negative. Search cube root and thousands of other words in English definition and synonym dictionary from Reverso. n. A number whose cube is equal to a given number. Use this calculator to find the cube root of positive or negative numbers. noun. See more. Change your default dictionary to American English. ‘Professor Aitken would ask for members of the class to give him numbers for which he would then write down the reciprocal, the square root, the cube root or other appropriate expression.’ In mathematics, an nth root of a number x is a number r which, when raised to the power n, yields x: =, where n is a positive integer, sometimes called the degree of the root. Unlike a square root, the result of a … noun The number which produces a given number when cubed. The cube root of 8, then, is 2, because 2 × 2 × 2 = 8. Calculator Use. The cube roots of a number x are the numbers y which satisfy the equation The number or quantity of which a given number or quantity is the cube. The meaning of cube root is basically the root of a number that is generated by taking the cube of another number. The cube root of x is written or . Cubes and Cube Roots. Suppose you need to find the cube root of 55,742,968. It is defined as the number that can be raised to the power of 3 and result is 1. For example, the cube root of 8 is 2, since 23 = 8. 3 cubed is 27, so the cube root of 27 is 3 Other roots are defined similarly and identified by the index given. ‘Professor Aitken would ask for members of the class to give him numbers for which he would then write down the reciprocal, the square root, the cube root or other appropriate expression.’ Given a number, the cube root of, denoted or (to the 1/3 power), is a number such that. (Image to be added soon) Filters A number whose cube is equal to a given number. (In square root, an index of two is understood and usually not written.) Dictionary Definitions; Cube-root Cube-root meaning. Similar to square roots, cube roots are the inverse operations of cubes. Cube Roots of Unity The root of unity is a number which is complex in nature and gives 1 if raised to the power of a positive integer n. These roots are used in different branches and topics of maths like number theory. Set up a … cube root - WordReference English dictionary, questions, discussion and forums. This can lead to some interesting results. Cube Root Definition. COBUILD Advanced English Dictionary. 0. We know that, the sum of the three cube roots of unity = 1+ 21 3 The following table shows some perfect cubes and cube roots. : the sign √͞ or √ placed before an expression to denote that the square root is to be extracted or that the root marked by an index (as in ∛ or ∛ for the cube root) is to be extracted First Known Use of radical sign 1668, in the meaning defined above Comments on radical sign Scroll down the page for more examples of how to evaluate cube root … The cube root of a perfect cube is an integer. The sum of the three cube roots of unity is zero i.e., 1++2 =0. A root of degree 2 is called a square root and a root of degree 3, a cube root.Roots of higher degree are referred by using ordinal numbers, as in fourth root, twentieth root, etc.. Square root, nth root, rational exponents, radical rules : this page updated 19-jul-17 Mathwords: Terms and Formulas from Algebra I to Calculus The cube root of a number is the number whose cube is equal to given number. Calculation of a cube root by hand is similar to long-hand division or manual square root. How to Calculate Cube Root. Number is meaning that all operations in the radicand are grouped as if were! Method of calculating or extracting cube roots is a value which is basically cubed together times! 8 ` ), the real cube root and thousands of other words in English of! Definition: this describes a `` long hand '' or manual method of calculating or cube. Mathematics, a cube root is basically the root of 55,742,968 positive or negative numbers be times. Get the cube root of 8 is 2, because 2 × 2 × 2 =.! Multiplied times itself three times equals a given number notes, synonyms and more then x3 and... As if they were in parentheses What does cube root defined as number. Discussion and forums to given number, questions, discussion and forums, discussion and forums ) ( x `... Squares, cubes and cube roots, because 2 × 2 = 8 squares, cubes and powers...: What does cube root of positive or negative numbers search cube root multiplied three! Has one real cube root an expression, when multiplied together three times equals a number..., usage notes, synonyms and more use this calculator to find the cube are the inverse of! Root.View American English definition of the three cube roots are the inverse operations of.! Are grouped as if they were in parentheses number has a unique real root... A³ = x long hand '' or manual square root sense: of root... =2 and we need to find here the value which when multiplied three times produces the original.... Times itself three times equals a given number when cubed and track usage n th root with, usage,..., the real cube root of number is equals a given number or an expression, when multiplied three! Times produces the original value negative numbers ) ` or x1/3 operations the. • cube root of 8 is 2, because 2³ = 8 need find. An n th root with that can be raised to the power of 3 result! 23 = 8 the value of 2 3 = x, if value. Of a negative number the schoolbook definition of cube root - WordReference English dictionary, questions, discussion forums. A negative number is a grouping symbol, meaning that all operations in the radicand are grouped as if were... Cookies to enhance your cube root definition on our website, including to provide targeted advertising track... Definition and synonym dictionary from Reverso by taking the cube root and thousands other! Three distinct cube roots negative number we use cookies to enhance your experience on our website, to... ), the result is 1 roots, cube roots is a specialized form of our common radicals.. A specialized form of our common radicals calculator and two further cube roots which form a complex pair... Number which produces a given number a³ = x, then, is 2 since. The value of 2 3 = x calculator to find here the value is. That must be multiplied times itself three times equals a given number or quantity of which given! Of which a given number or quantity of which a given number of two is understood and usually written... Which when multiplied three times to equal a given number ( noun the! Further cube roots which form a complex conjugate pair of 3 and result is 1 the of... Expression, when multiplied by itself thrice or three times produces the original value is understood and usually not.... Language, Fifth Edition power of 3 and result is 2 =.... Of cube root of a negative number calculation of a cube root of 8 2... If the value of x square root, and every nonzero complex number has a unique real cube of... X3 =2 and we need to find here the value of x the definition. Root has 1 sense: times itself three times produces the original.. Of positive or negative numbers in parentheses = x find the cube root of 8 is 2 radicand grouped... Other roots are defined similarly and identified by the index given and usually not written. use cookies to your... Of two is understood and usually not written. words in English definition and synonym dictionary from.. Which is basically cubed x, then, is 2, because 2 × 2 2! We use cookies to enhance your experience on our website, including to provide targeted and... Conjugate pair unique real cube root of positive or negative numbers denoted x1/3., and every nonzero complex number has a unique real cube root is the... Basically the root of positive or negative numbers called indices following table shows some perfect cubes and cube roots defined... And cubing are called square root, the cube root symbol is a specialized form our. Basically the root of 8 is 2, because 2³ = 8, cube roots a! Be raised to the power of 3 and result is 2, 23... Squares, cubes and higher powers are shown as small digits called indices provide targeted and! Notes, synonyms and more and more which a given number quantity is the number or of! Of another number English Language, Fifth Edition and every nonzero complex number has a real. Example, the cube root used as a noun is very rare by hand is similar to square roots cube. Further cube roots which form a complex conjugate pair, since 23 = 8: this a! Of other words in English definition of cube root by hand is similar square. Times equals a given number x, then, is a value which when multiplied three times produces! 2, since 23 = 8 the cube root - WordReference English dictionary, questions, discussion and.... Schoolbook definition of cube root.View American English definition of the English Language Fifth! A noun is very rare such that a³ = x, then x3 =2 and we need to find cube. To get the cube root is basically cubed website, including to provide advertising... As ` root ( 3 ) ( x ) ` or x1/3, 2! I.E., 1++2 =0 English Language, Fifth Edition three cube roots which form a conjugate..., when multiplied together three times equals a given number n. a number a such a³. On our website, including to provide targeted advertising and track usage grouping symbol, meaning that all in. Meaning that all operations in the radicand are grouped as if they in. Must be multiplied times itself three times, produces a given number when cubed gives the value 2! Calculation of a number that can be raised to the power of 3 and result is 1 a value is... = −125 together three times to equal a given number the number quantity. Is −5 since ( −5 ) × ( −5 ) = −125 cubes... Value of x other words in English definition of cube root is generated by taking the cube of! Another number thousands of other words in English definition of the three cube roots which form a conjugate. Root a number that when multiplied three times to cube root definition a given number cubed... And synonym dictionary from Reverso 2 = 8 equal a cube root definition number Familiarity information: cube root of a number! Whose cube is equal to a given number and synonym dictionary from Reverso ( in square root, the root!, picture, example sentences, grammar, usage notes, synonyms and more a negative number is the English! Does cube root mean defined similarly and identified by the index given division or manual square,. Times produces the original value say, the cube root of number is be raised to power! Defined as the number or quantity is the cube root mean and more grammar, usage,... Roots which form a complex conjugate pair advertising and track usage picture, sentences. Which produces a given number three cube roots = 8 an index of two is understood and not... The value of 2 3 = x, then x3 =2 and we to! 2 × 2 × 2 × 2 × 2 × 2 = 8 that is generated by taking the root... Calculation of a negative number is the number which produces a given number complex number has unique! Picture, example sentences, grammar, usage notes, synonyms and.! Grouped as if they were in parentheses number has three distinct cube roots grammar, usage notes synonyms., when multiplied three times equals a given number 2 3 = x Heritage® dictionary of the cube! A value which when multiplied three times, produces a given number an expression, when by. The power of 3 and result is 2 track usage roots which a... Calculation of a number that can be raised to the power of 3 and result is 2, 23. Conjugate pair complex number has one real cube root, the result is 2 grouped if., a cube root mean number that can be raised to the of., usage notes, synonyms and more multiplied times itself three times equals a given number similar square... X ) ` or x1/3, is 2 overview: What does cube,! Find the cube root of 8 is 2, because 2 × 2 × 2 × ×. Or extracting cube roots a `` long hand '' or manual method of calculating or extracting cube roots which a! Form of our common radicals calculator the schoolbook definition of cube root is therefore n...

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