Question

How do you simplify `sqrt (2a^2b) * (4a^2)`?

Answer 1

`=>4a^3sqrt(2b)`

Explanation:

All that can be done is to pull out a factor of `a` from the radical since the `sqrt(a^2) = a` assuming that `a` is just a positive number.

`sqrt(2a^2b) * (4a^2)`

`=asqrt(2b) * (4a^2)`

`=4a^3sqrt(2b)`