Question

Simplify :
$3\sqrt{3}+2\sqrt{27}+\frac{7}{\sqrt{3}}$.

Answer 1

$3\sqrt{3}+2\sqrt{27}+\frac{7}{\sqrt{3}}$
$=3\sqrt{3}+2\sqrt{3\times 3\times 3}+\frac{7}{\sqrt{3}}\times \frac{\sqrt{3}}{\sqrt{3}}$ (Rationalising the denominator)
$=3\sqrt{3}+6\sqrt{3}+\frac{7\sqrt{3}}{3}$
$=(3+6+\frac{7}{3})\sqrt{3}$
$=\frac{34}{3}\sqrt{3}(=19.63)$.