# How do you simplify sqrt(6x) *sqrt(2x)?

##### 1 Answer
May 13, 2015

When you multiply two square roots, you can merge the product of them into one.

So, $\sqrt{6 x} \cdot \sqrt{2 x} = \sqrt{12 {x}^{2}}$

We can simplify it as $\sqrt{2 \cdot 2 \cdot 3 \cdot x \cdot x}$

By definition of square roots, when a number is squared inside it, we can end up taking one out.

$2 \cdot x \cdot \sqrt{3}$

The final answer, therefore, is $2 x \sqrt{3}$ :)