# How do you simplify sqrt 9 times 3 sqrt 2?

Mar 25, 2016

$9 \sqrt{2}$

#### Explanation:

First, notice that $\sqrt{9} = 3$, since ${3}^{2} = 9$.

So, the expression more simply becomes:

$3 \times 3 \sqrt{2}$

Recall that $3 \sqrt{2}$ is just a multiplication problem between $3$ and $\sqrt{2}$, that is, $3 \sqrt{2} = 3 \times \sqrt{2}$.

Hence the expression can be written as

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

We can simplify $3 \times 3 = 9$. We cannot do anything with the $\sqrt{2}$, so our final answer is

$9 \sqrt{2}$