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Question

If x=525+2, y=5+252 and y2 is (161+72m), then value of m is ___.

Solution
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We have x=525+2 and y=5+252

Rationalizing the denominator gives,

y=5+252×5+25+2

y=5+4+4554 (By applying the identities)

y=9+451

y2=(9+45)(9+45)

=81+16×5+725

=161+725

Comparing this with y2=161+72m, we get m=5.

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