# How do you simplify 5sqrt(3x^3)+2sqrt(27x)?

Jul 30, 2017

See a solution process below:

#### Explanation:

$\sqrt{\textcolor{red}{a} \cdot \textcolor{b l u e}{b}} = \sqrt{\textcolor{red}{a}} \cdot \sqrt{\textcolor{b l u e}{b}}$

$5 \sqrt{\textcolor{red}{{x}^{2}} \cdot \textcolor{b l u e}{3 x}} + 2 \sqrt{\textcolor{red}{9} \cdot \textcolor{b l u e}{3 x}} \implies$

$5 \sqrt{\textcolor{red}{{x}^{2}}} \sqrt{\textcolor{b l u e}{3 x}} + 2 \sqrt{\textcolor{red}{9}} \sqrt{\textcolor{b l u e}{3 x}} \implies$

$5 x \sqrt{\textcolor{b l u e}{3 x}} + \left(2 \cdot 3\right) \sqrt{\textcolor{b l u e}{3 x}} \implies$

$5 x \sqrt{\textcolor{b l u e}{3 x}} + 6 \sqrt{\textcolor{b l u e}{3 x}}$

Step 2) Combine like terms by factoring out the common term: $\sqrt{\textcolor{b l u e}{3 x}}$ :

$\left(5 x + 6\right) \sqrt{\textcolor{b l u e}{3 x}}$