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# If m > 0 and n > 0, which of the following is equivalent to mn/m^2

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Math Expert
Joined: 02 Sep 2009
Posts: 52403
If m > 0 and n > 0, which of the following is equivalent to mn/m^2  [#permalink]

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28 Oct 2018, 22:49
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82% (00:56) correct 18% (02:59) wrong based on 49 sessions

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If m > 0 and n > 0, which of the following is equivalent to $$\frac{mn}{m^2}*\sqrt{\frac{m^2}{n}}$$

A. $$\sqrt{n}$$

B. $$\frac{nm}{\sqrt{n}}$$

C. $$\frac{m^2}{n}$$

D. $$\frac{n^2}{m}$$

E. $$\frac{1}{mn}$$

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If m > 0 and n > 0, which of the following is equivalent to mn/m^2  [#permalink]

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28 Oct 2018, 22:57
Both m and n are positive.

Then $$\frac{mn}{m^2}$$*$$\sqrt{\frac{m^2}{n}}$$ = $$\frac{n}{m}$$*$$\frac{m}{\sqrt{n}}$$ = $$\sqrt{n}$$.

A is the answer.
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Re: If m > 0 and n > 0, which of the following is equivalent to mn/m^2  [#permalink]

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28 Oct 2018, 23:01
$$\frac{mn}{m^2}$$ * $$\sqrt{\frac{m^2}{n}}$$

= $$\frac{mn}{m^2}$$ * $$\frac{m}{\sqrt{n}}$$

= $$\frac{m^2 n}{m^2 \sqrt{n}}$$

= $$\frac{n}{\sqrt{n}}$$

= $$\sqrt{n}$$
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Re: If m > 0 and n > 0, which of the following is equivalent to mn/m^2 &nbs [#permalink] 28 Oct 2018, 23:01
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# If m > 0 and n > 0, which of the following is equivalent to mn/m^2

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