Question

How do you simplify `sqrt(64b^48)`?

Answer 1

It can be written as `8b^24`

Explanation:

First if you have an expression like `sqrt(a*b)` you can write it as `sqrt(a)*sqrt(b)`, so you can write this as:

`sqrt(64)*sqrt(b^48)`

Finally you can write `sqrt(a)` as `a^(1/2)`, so
`sqrt(b^48)=(b^48)^(1/2)=b^(48/2)=b^24`

Finally you get: `8b^24`