Rationalise the denominator of each of the following:
$\frac{\sqrt{5}}{2 \sqrt{3}}$

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Solution

On multiplying the numerator and denominator of the given number by $\sqrt{3}$ , we get:

$\frac{\sqrt{5}}{2 \sqrt{3}} = \frac{\sqrt{5}}{2 \sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}} = \frac{\sqrt{15}}{6}$

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