Question

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

• A. 23
• B. 24
• C. 25
• D. 26

Answer 1

The correct option is A

23

The two consecutive perfect squares between which 536 lies,
$400<536<625$

Taking their square roots,
$\Rightarrow$ 20 $<\sqrt{536}<25$

20 and 25 are not consecutive numbers. So, let's narrow down the search till we find 2 consecutive perfect squares between which 536 lies.

$529<536<576$
$23<\sqrt{536}<24$

But 536 is closer to 529. So, estimated root is 23 or $\sqrt{536}\simeq 23$.