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Question

Find the nearest integer to the square root of 232.

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Solution

We know, 152=225 and 162=256
Also we have, 225<232<256
152<232<162
Difference of 225 and 232 is 7 whereas difference of 256 and 232 is 24.
So, the square root of 232 is nearest to 15.
Hence, the answer is 15

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