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Question

Find the nearest integer to the square root of 824.

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Solution

We know, 282=784 and 292=841
Also, we have, 784<824<841
282<824<292
Difference of 784 and 824 is 40 whereas difference of 824 and 841 is 17.
So, the square root of 824 is nearest to 29.
Hence, the answer is 29.

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