# How do you simplify sqrt(12x+12) + sqrt(3x+3)?

Apr 29, 2018

It simplifies to $3 \sqrt{3 x + 3}$.

#### Explanation:

Factor out a $4$ on the left radical, then combine the like terms:

$\textcolor{w h i t e}{=} \sqrt{12 x + 12} + \sqrt{3 x + 3}$

$= \sqrt{4 \left(3 x + 3\right)} + \sqrt{3 x + 3}$

$= \sqrt{4} \cdot \sqrt{3 x + 3} + \sqrt{3 x + 3}$

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

$= 2 \sqrt{3 x + 3} + \sqrt{3 x + 3}$

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

That's it. Hope this helped!