Cube root of a number or an expression means that the exponent or power of that number or an expression is ‘1/3’. Cube root
can be taken for any number or variable and accordingly we get different solutions for it. Cube root calculator is an easy online
tool which can quickly calculate the cube root of any number or an expression.
Example 1: Find the cube root of the number 64.
Cube root of a number means the exponent of that number is ‘1/3’.
So cube root of 64 can also be written as (64)1/3.
To find the cube root of a number means we need to find a number which would multiply ‘3’ times in itself to give our desired
4 * 4 * 4 = 64
43 = 64 4 = (64)1/3
Hence the cube root of 64 (64)1/3 = 4
Example 2: Find the cube root of the expression x6y3
Cube root of an expression means the exponent of that expression is ‘1/3’.
So cube root of x6y3can also be written as (x6y3)1/3.
To find the cube root of an expression, we need to raise the entire expression to the power of ‘1/3’ and distribute the exponent
(x6y3)1/3 = (x6)1/3 * (y3)1/3
The exponents cancel each other accordingly
We get (x6*1/3) * (y3*1/3) x2 * y1
Hence the cube root of the expression x6y3 (x6y3)1/3 = x2y