How do you simplify 4sqrt32*sqrt2?

2 Answers
Jul 25, 2018

See a solution process below:

Explanation:

To simplify this expression use this rule for radicals:

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

4sqrt(color(red)(32)) * sqrt(color(blue)(2)) =>

4sqrt(color(red)(32) * color(blue)(2)) =>

4sqrt(64) =>

4 * 8 =>

32

Jul 25, 2018

32

Explanation:

4sqrt(16*2)*sqrt2= 4*4*sqrt2*sqrt2= 32