Question

What is the square root of x^3?

Answer 1

See a solution process below:

Explanation:

First, rewrite the expression as:

`sqrt(x^3) => sqrt(x^2 * x)`

Then 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)(x^2) * color(blue)(x)) => sqrt(color(red)(x^2)) * sqrt(color(blue)(x)) => color(red)(x)sqrt(color(blue)(x))`