Question

Simplify:

$5\sqrt{3}+2\sqrt{27}+4\sqrt{\frac{1}{3}}$

• A. $\frac{37}{3}\sqrt{3}$
• B. $\frac{36}{3}\sqrt{3}$
• C. $\frac{32}{3}\sqrt{3}$
• D. $\frac{37}{3}\sqrt{2}$

Answer 1

The correct option is A $\frac{37}{3}\sqrt{3}$

$5\sqrt{3}+2\sqrt{27}+4\sqrt{\frac{1}{3}}$
$=\frac{(5\times 3)+(2\times 3\times 3)+4}{\sqrt{3}}$
$=\frac{15+18+4}{\sqrt{3}}=\frac{37}{\sqrt{3}}=\frac{37\sqrt{3}}{3}$