Question

Simplfy each of the following by rationalising the denominator:

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Answer 1

$\frac{ 3 \sqrt{5} - \sqrt{7}}{3 \sqrt{3} - \sqrt{2}}$

on rationalising the denomination

$\frac{ 3 \sqrt{5} - \sqrt{7}}{3 \sqrt{3} + \sqrt{2}} × \frac{3 \sqrt{3} - \sqrt{2}}{3 \sqrt{3} - \sqrt{2}}$

$\frac{9\sqrt{15}-3\sqrt{10}-3\sqrt{21}+7\sqrt{14}}{27-2}$

$\frac{9\sqrt{15}-3\sqrt{10}-3\sqrt{21}+7\sqrt{14}}{25}$