Question

What is the `sqrt 384` in simplest radical form?

Answer 1

See a solution process below:

Explanation:

We can rewrite this expression as;

`sqrt(384) => sqrt(64 * 6)`

We can now use this rule for radicals to simplify the expression:

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

`sqrt(color(red)(64) * color(blue)(6)) => sqrt(color(red)(64)) * sqrt(color(blue)(6)) => 8sqrt(6)`