In each of the following numbers rationalise the denominator
$\frac{1}{5+2 \sqrt{3}}$
In each of the following numbers rationalise the denominator
$\frac{1}{5+2 \sqrt{3}}$
$\frac{1}{5+2 \sqrt{3}}=\frac{1}{5+2 \sqrt{3}} \times \frac{5-2 \sqrt{3}}{5-2 \sqrt{3}}$
$=\frac{1(5-2 \sqrt{3})}{(5)^{2}-(2 \sqrt{3})^{2}}$
$=\frac{5-2 \sqrt{3}}{25-12}$
$=\frac{5-2 \sqrt{3}}{13}$
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