Question

How do you simplify `10\sqrt { 24x ^ { 21} y ^ { 33} }`?

Answer 1

See a solution process below:

Explanation:

We will use this rule of multiplying radicals to simplify this expression:

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

`10sqrt(24x^21y^33) => 10sqrt(color(red)(4x^20y^32) * color(blue)(6xy)) =>`

`10 * sqrt(color(red)(4x^20y^32)) * sqrt(color(blue)(6xy)) =>`

`10 * 2x^10y^16 * sqrt(color(blue)(6xy)) =>`

`20x^10y^16sqrt(color(blue)(6xy)) =>`