Question

What is the cube root of 72?

Answer 1

`root(3)72 = 2root(3)9`

Explanation:

Factorize the number under the radical sign and look for perfect cubes that can be taken out and simplified.

`root(3)72 = root(3)(8*9) = root(3)(2^3*3^2) = root(3)(2^3)root(3)(3^2)= 2root(3)(3^2)`