Question

Estimate the square root of 536 to the nearest whole number.

• A. 19
• B. 23
• C. 27
• D. 33

Answer 1

The correct option is B 23

Firstly, find between which two consecutive perfect squares does 536 lie.
$400<536<625$
Taking square root $\Rightarrow$ 20 $<\sqrt{536}<25$.
Since 20 and 25 are not consecutive numbers, so, narrow down the search till you find two consecutive perfect squares between which 536 lies.
$529<536<576$
$\Rightarrow$$23<\sqrt{536}<24$.
Since 536 is closer to 529. Hence, estimated square root is 23 or $\sqrt{536}\approx 23$.