Question

What is the square root of x^12?

Answer 1

`sqrt(x^12) = x^6` (or possibly `-x^6` if you want to include the non-principal square root)

Explanation:

In general `(b^a)^c = b^(ca)`

So `(x^6)^2 = x^(2xx6) = x^12`
or reversed
`x^12 = (x^6)^2`

Therefore
`sqrt(x^12) = sqrt((x^6)^2) = x^6`