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Rationalisation

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Question

Simplify $\sqrt{10 \frac{151}{225}}$ .

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Solution

$\sqrt{10 \frac{151}{225}}$
$= \sqrt{\frac{2250 + 151}{225}}$
$= \sqrt{\frac{2401}{225}}$
$= \sqrt{\frac{49 \times 49}{15 \times 15}}$
$= \frac{49}{15}$

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