# How do you simplify  sqrt(3x) * sqrt3?

Mar 9, 2016

$3 \cdot \sqrt{x}$

#### Explanation:

Note that radicals can be split up as follows:

$\sqrt{a b} = \sqrt{a} \cdot \sqrt{b}$

So,

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

This gives us a simplified expression of

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

Now, simplify the two $\sqrt{3}$ terms using the rule:

$\sqrt{a} \cdot \sqrt{a} = a$

So, $\sqrt{3} \cdot \sqrt{3} = 3$ and the expression equals

$= 3 \cdot \sqrt{x}$