Question

How do you simplify `3 sqrt (2x^2y)`?

Answer 1

See a solution process below:

Explanation:

First, rewrite the expression as:

`3sqrt(x^2 * 2y)`

Now use this rule for radicals to complete the simplification:

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

`3sqrt(color(red)(x^2) * color(blue)(2y)) = 3sqrt(color(red)(x^2)) * sqrt(color(blue)(2y)) = 3xsqrt(2y)`