What Is A Cube Root In Math

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.

What is a cube root in math.

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. 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. The cube root of a number a a a denoted as a 3 sqrt 3 a 3 a is the number b b b such that. 3 3 3 27 so the cube root of 27 is 3.

A cube root goes the other direction. Review cube roots and try some practice problems. 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. Definition of cube root.

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. What is cube root. Use this calculator to find the cube root of positive or negative numbers. B 3 a.

The cube root of a number is a special value that when used in a multiplication three times gives that number. Cube root definition a quantity of which a given quantity is the cube. And just so you know you don t have to stop there. So based on the math that we know so far you actually can take the cube root of a negative number.

3 cubed is 27 so the cube root of 27 is 3. 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. B 3 a. If you re seeing this message it means we re having trouble loading external resources on our website.

Cube roots is a specialized form of our common radicals calculator.