# How do you multiply sqrt3(5+sqrt3)?

$= 5 \textcolor{red}{\sqrt{3}} + 3$
$\textcolor{red}{\sqrt{3}} \left(5 + \sqrt{3}\right)$
Here, we need to multiply $\textcolor{red}{\sqrt{3}}$ with each term within brackets.
$= 5 . \textcolor{red}{\sqrt{3}} + \textcolor{red}{\sqrt{3}} . \sqrt{3}$
$= 5 \textcolor{red}{\sqrt{3}} + 3$