Five marks exercise problems XVIII — task. Mathematics State Board, Class 9.

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Rationalise the denominator and simplify.

(i)

$\frac{2 \sqrt{6} - \sqrt{5}}{3 \sqrt{5} - 2 \sqrt{6}}$

$=$

$\frac{i \sqrt{i} + i}{i}$

(ii)

$\frac{\sqrt{5}}{\sqrt{6} + 2} - \frac{\sqrt{5}}{\sqrt{6} - 2}$

$=$

$i \sqrt{i}$

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