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Rationalisation

Simplify 1√...

Question

Simplify $\frac{1}{\sqrt{3} + \sqrt{2}} + \frac{1}{\sqrt{4} + \sqrt{3}} + \sqrt{2}$ .

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Solution

$\frac{1}{\sqrt{3} + \sqrt{2}} + \frac{1}{\sqrt{4} + \sqrt{3}} + \sqrt{2}$
$\frac{\sqrt{3} - \sqrt{2}}{3 - 2} + \frac{\sqrt{4} - \sqrt{3}}{4 - 3} + \sqrt{2}$
$\sqrt{4} = 2$

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