Question

Rationalise the denominator of :
$\frac{4}{\sqrt{6}}$

• A. $\frac{2\sqrt{3}}{5}$
• B. $\frac{2\sqrt{6}}{5}$
• C. $\frac{2\sqrt{3}}{3}$
• D. $\frac{2\sqrt{6}}{3}$

Answer 1

Answer: (D)

$\frac{2\sqrt{6}}{3}$

$\frac{4}{\sqrt{6}}$
Rationalising the denominator, we get
$\frac{4\times \sqrt{6}}{\sqrt{6}\times \sqrt{6}}$
$=\frac{4\sqrt{6}}{6}$
$=\frac{2\sqrt{6}}{3}$