How do you simplify #-6sqrt7 * 4sqrt5#?

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Answer 1 · 2018-05-19T13:08:50

See a solution process below:

First, rewrite the expression as:

#-6 * 4 * sqrt(7) * sqrt(5) =>#

#-24 * sqrt(7) * sqrt(5)#

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

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

#-24 * sqrt(color(red)(7)) * sqrt(color(blue)(5)) =>#

#-24 * sqrt(color(red)(7) * color(blue)(5)) =>#

#-24 * sqrt(35) =>#

#-24sqrt(35)#