Question

How do you simplify `3sqrt(x^8yz^7)`?

Answer 1

See a solution process below:

Explanation:

First, rewrite this expression as:

`3sqrt(x^8z^6 * yz)`

Next, use this rule for radicals to write the expression as:

`sqrt(color(red)(a) * color(blue)(b)) = sqrt(color(red)(a)) * sqrt(color(blue)(b))`

`3sqrt(color(red)(x^8z^6) * color(blue)(yz)) => 3sqrt(color(red)(x^8z^6)) * sqrt(color(blue)(yz)) => 3x^4z^3sqrt(yz)`