Question

Rationalise the denominator and simplify: $4\sqrt{\frac{1}{3}}+\frac{1}{2}\sqrt{48}$.

Answer 1

Solution:

$4\sqrt{\frac{1}{3}}+\frac{1}{2}\sqrt{48}$

$=\frac{4}{\sqrt{3}}\times \frac{\sqrt{3}}{\sqrt{3}}+\frac{1}{2}\times 4\sqrt{3}$

$=\frac{4\sqrt{3}}{3}+2\sqrt{3}$

$=\frac{4\sqrt{3}+6\sqrt{3}}{3}$

$=\frac{10\sqrt{3}}{3}$