How do you simplify #3sqrt162#?

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Answer 1 · 2018-01-16T15:30:45

See a solution process below:

First, rewrite the expression as:

#3sqrt(81 xx 2)#

Now, use this rule for exponents to simplify the expression:

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

#3sqrt(color(red)(81) xx color(blue)(2)) =>#

#3sqrt(color(red)(81)) xx sqrt(color(blue)(2)) =>#

#(3 xx 9)sqrt(color(blue)(2)) =>#

#27sqrt(color(blue)(2))#