Question

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

• A. 23
• B. 24
• C. 25
• D. 26

Answer 1

The correct option is A

23

First find between which two consecutive perfect squares 536 lies
$400<536<625$
Taking square root $\Rightarrow$ 20 $<\sqrt{536}<25$
20 and 25 are not consecutive numbers. So narrow down the search till you 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 $\sqrt{536}\simeq 23$