Express the following mixed surd in the form of a pure surd.

$5 \sqrt{10}$

\sqrt{250}

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\sqrt{625}

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\sqrt{2500}

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\sqrt{6250}

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Solution

The correct option is A $\sqrt{250}$
$5 \sqrt{10}$ = $\sqrt{5^{2} \times 10}$

$\Rightarrow 5 \sqrt{10} = \sqrt{25 \times 10}$

$\Rightarrow 5 \sqrt{10} = \sqrt{250}$

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