In each of the following numbers rationalise the denominator
$\frac{30}{5 \sqrt{3}-3 \sqrt{5}}$
In each of the following numbers rationalise the denominator
$\frac{30}{5 \sqrt{3}-3 \sqrt{5}}$
$\frac{30}{5 \sqrt{3}-3 \sqrt{5}}=\frac{30}{5 \sqrt{3}-3 \sqrt{5}} \times \frac{5 \sqrt{3}+3 \sqrt{5}}{5 \sqrt{3}+3 \sqrt{5}}$
$=\frac{30(5 \sqrt{3}+3 \sqrt{5})}{(5 \sqrt{3})^{2}-(3 \sqrt{5})^{2}}$
$=\frac{30(5 \sqrt{3}+3 \sqrt{5})}{75-45}$
$=\frac{30(5 \sqrt{3}+3 \sqrt{5})}{30}=5 \sqrt{3}+3 \sqrt{5}$
Similar Questions
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