What Is A Cube Root In Math

So based on the math that we know so far you actually can take the cube root of a negative number.

What is a cube root in math.

And just so you know you don t have to stop there. For example the real cube root of 8 denoted 3 8 is 2 because 2 3 8 while the other cube roots of 8 are 1 3 i and 1 3 i. Use this calculator to find the cube root of positive or negative numbers. Definition of cube root.

3 3 3 27 so the cube root of 27 is 3. A cube root goes the other direction. 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. Perfect cube roots table 1 100.

Cube root definition a quantity of which a given quantity is the cube. B 3 a. A cube root of a number a is a number x such that x 3 a in other words a number x whose cube is a. The cube root symbol acts similarly to the square root symbol it is often called a radical and the number or expression underneath the top line of the symbol is called the radicand the cube root symbol is a grouping symbol meaning that all operations in the radicand.

You could take a fourth root and in this case you d have a four here a fifth root a sixth root a seventh root of numbers and we ll talk about that later in your mathematical career. Review cube roots and try some practice problems. In mathematics a cube root of a number x is a number y such that y 3 x all nonzero real numbers have exactly one real cube root and a pair of complex conjugate cube roots and all nonzero complex numbers have three distinct complex cube roots. 3 cubed is 27 so the cube root of 27 is 3.

B 3 a. Cube roots is a specialized form of our common radicals calculator. For example 27 is the cube root of 19683 because 27 3 27 27 27 19683 27 is cube root of 19683 because 27 3 27 27 27 19683. What is cube root.

The cube root of a number is a special value that when used in a multiplication three times gives that number.