Question

How do you simplify `sqrt(300x^11y^5)`?

Answer 1

`300^(1/2)x^(11/2)y^(5/2)`

Explanation:

`sqrt(300x^11y^5)` can be rewritten as:

`(300x^11y^5)^(1/2)`

We can now use the following exponent rule to simplify this expression:

`color(red)((x^a)^b = x^(a*b))`

`(300^(1/2)x^(11 * 1/2)y^(5 * 1/2))`

`300^(1/2)x^(11/2)y^(5/2)`