# How do you simplify square root of 3x + 3 square root of 3x - 2 square root of 3x - 10?

Oct 8, 2015

$2 \cdot \left(\sqrt{3 x} - 5\right)$

#### Explanation:

Assuming that your expression looks like this

$\sqrt{3 x} + 3 \sqrt{3 x} - 2 \sqrt{3 x} - 10$

you can use $\sqrt{3 x}$ as a common factor to get

$\sqrt{3 x} \cdot \left(1 + 3 - 2\right) - 10$

This will be equal to

$2 \sqrt{3 x} - 10$

Finally, use $2$ as a common factor to get the simplified form of the expression

$2 \sqrt{3 x} - 10 = \textcolor{g r e e n}{2 \cdot \left(\sqrt{3 x} - 5\right)}$