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Question

If m=138 and n=13+8, find if n2 is equal to 176m, then value of m is?

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Solution

We rationalize the denominator,
n=13+8×3838
n=3898
n=381.
n2=(38)(38)
=9+868
=17122
=1768.
Thus the value of m from the above question is 8.

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