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

Jul 7, 2016

$18 \sqrt{2}$

#### Explanation:

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

$3 \times \sqrt{12} \times \sqrt{6} = 3 \times \sqrt{12 \times 6}$

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

$3 \times \sqrt{2 \times 2 \times 3 \times 2 \times 3}$

= $3 \times \sqrt{{2}^{2} \times {3}^{2} \times 2}$

= $3 \times 2 \times 3 \times \sqrt{2}$

=$18 \sqrt{2}$