The sub-duplicate ratio of $25 m^{2} : 49 n^{2}$ is _____

49 m^{2} : 25 n^{2}

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25 m : 49 n

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7 m : 5 n

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5 m : 7 n

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Solution

The correct option is D $5 m : 7 n$
The sub-duplicate ratio of $a : b$ is $\sqrt{a} : \sqrt{b}$ .
$\sqrt{25 m^{2}} : \sqrt{49 n^{2}} = 5 m : 7 n$

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