How do you simplify #(3 times sqrt12) timessqrt 6#?

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Answer 1 · 2016-07-07T10:30:01

#18sqrt2#

As long as square roots are being multiplied, we can combine them into one root.

#3 xx sqrt 12 xxsqrt 6 = 3 xx sqrt(12 xx 6)#

Write 12 x 6 as a product of the prime factors and group them into pairs:

#3 xx sqrt(2xx2xx3xx2xx3)#

= #3 xx sqrt(2^2 xx3^2 xx2)#

= # 3 xx 2 xx 3 xx sqrt2#

=#18sqrt2#