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:

$3 xx sqrt(2xx2xx3xx2xx3)$

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

= $3 xx 2 xx 3 xx sqrt2$

= $18sqrt2$

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