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

1 Answer
smendyka
Jun 30, 2017

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)#

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