Question

How do you simplify `\sqrt { 75x ^ { 2} y }`?

Answer 1

See a solution process below:

Explanation:

First, rewrite the expression as:

`sqrt(25x^2 * 3y)`

Now. use this rule of radicals to simplify the expression:

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

`sqrt(color(red)(25x^2) * color(blue)(3y)) => sqrt(color(red)(25x^2)) * sqrt(color(blue)(3y)) => 5x * sqrt(color(blue)(3y)) => 5xsqrt(3y)`