How do you simplify sqrt3(sqrt3+2)?

May 17, 2018

See a solution process below:

Explanation:

First, distribute the term outside the parenthesis across each term within the parenthesis:

$\textcolor{red}{\sqrt{3}} \left(\sqrt{3} + 2\right) \implies$

$\left(\textcolor{red}{\sqrt{3}} \times \sqrt{3}\right) + \left(\textcolor{red}{\sqrt{3}} \times 2\right) \implies$

${\left(\sqrt{3}\right)}^{2} + 2 \sqrt{3} \implies$

$3 + 2 \sqrt{3}$