Question

What is the square root of cube root of 46656?

Answer 1

We have to find out √(3√46656)

First we will find 3√46656

3√46656 = (2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3)^1/3

3√46656 = 2 × 2 × 3 × 3

3√46656 = 2² × 3² = 36

Now √(3√46656) = √36 = √2² × 3² = 2 × 3 = 6

∴ The required is 6