Question

Question #47488

Answer 1

First observe that `36 = 6^2`.

Explanation:

Now since `q^7 = q^6*q`, we have
`sqrt(36q^7) = sqrt(36q^6)*sqrt(q)`
`=6q^3sqrt(q)`.

Observe that the exponent, 6, is divided by the index of the radical, 2. `6/2 = 3` is the new exponent.