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Question

If x=525+2 then x2 = ___


A

161+725

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B

942

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C

161

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D

161725

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Solution

The correct option is D

161725


x=525+2

=525+2×5252

=(52)2(5)2(2)2 (The numerator is of the form (ab)2 and the denominator is of the form a2b2)

=(5)22(25)+(2)254

=545+41

=942

X2=(945)2

=(9)22(9)(45)+(45)2

=81725+80

=161725


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