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Question

The nearest integer to the square root of 600 is ___.

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Solution

We know, 242=576 and 252=625
Also we have, 576<600<625
242<600<252
Difference of 576 and 600 is (600576)=24
whereas difference of 600 and 625 is (625600)=25.
Thus, the square root of 600 is nearest to 24.

Hence, the answer is 24.

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