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

$5 \sqrt[4]{10}$

$\sqrt[4]{6250}$

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$\sqrt[4]{250}$

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$\sqrt[4]{25}$

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$\sqrt[4]{1250}$

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Solution

The correct option is A
$\sqrt[4]{6250}$

$5 \sqrt[4]{10}$ = $\sqrt[4]{5^{4} \times 10}$

= $\sqrt[4]{5^{4} \times 10}$

= $\sqrt[4]{625 \times 10}$

= $\sqrt[4]{6250}$

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