Question

Estimate The Square Root Of $500$ To The Nearest Whole Number

Answer 1

We know that,

${\left(22\right)}^2=484$

and

${\left(23\right)}^2=529$

The two consecutive perfect squares among which 500 lies between are $484{\left(22\right)}^2$and $529{\left(23\right)}^2$

$484<500<529$

Thus $484$ is much closer to $500$ than $529$

$\therefore \sqrt{500}$ when rounded to nearest whole number is $22$