Question

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

Answer 1

We know, ${24}^2=576$ and ${25}^2=625$
Also we have, $576<600<625$
$⟹{24}^2<600<{25}^2$

Difference of $576$ and $600$ is $(600-576)=24$

whereas difference of $600$ and $625$ is $(625-600)=25$.

Thus, the square root of $600$ is nearest to $24$.

Hence, the answer is $24$.