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.

What is a cube root in math. The cube root of 64 is 4. 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. 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. 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. What is cube root. 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.

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

Cube root definition a quantity of which a given quantity is the cube. 3 3 3 27 so the cube root of 27 is 3. B 3 a. 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. 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. Perfect cube roots table 1 100. Definition of cube root.

A cube root goes the other direction.