Question

How do you simplify `(2sqrt5)(3sqrt11)`?

Answer 1

See a solution process below:

Explanation:

First, rewrite the expression as:

`(2 xx 3)(sqrt(5) xx sqrt(11))`

`6(sqrt(5) xx sqrt(11))`

Now, use this rule of radicals to complete the simplification:

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

`6(sqrt(color(red)(5)) * sqrt(color(blue)(11))) = 6sqrt(color(red)(5) * color(blue)(11)) = 6sqrt(55)`