Question

Rationalise the denominator and simplify $\frac{6}{\sqrt{8}}$

Answer 1

$\frac{6}{\sqrt{8}}=\frac{6}{\sqrt{8}}\times \frac{\sqrt{8}}{\sqrt{8}}$

$=\frac{6\sqrt{8}}{8}$

$=\frac{6\sqrt{4\times 2}}{8}$

$=\frac{12\sqrt{2}}{8}$

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

$\therefore \frac{6}{\sqrt{8}}=\frac{3\sqrt{2}}{2}$