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Rationalising Surds

Simplify : √...

Question

Simplify :
$(\sqrt{11} - \sqrt{5})^{2}$

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Solution

$(\sqrt{11} - \sqrt{5})^{2}$
$= 11 + 5 - 2 \sqrt{11 \times 5}$
$= 16 - 2 \sqrt{55}$

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