Question

$\text{Estimate √1000 to the nearest whole number.}$
[2 marks]

• A. $31$
• B. $34$
• C. $32$
• D. $33$

Answer 1

The correct option is C $32$

$\text{We know that, 961 < 1000 < 1024}$
$\Rightarrow {31}^2<1000<{32}^2$
$\Rightarrow 31<\sqrt{1000}<32$

$\text{On comairing 961 and 1024 with 1000 we can conclude that 1000 is closest to 1024.}\text{So 32 can be cansidered as 1000 approximate square root value.}$
[1.5 marks]

$\Rightarrow \sqrt{1000}\approx 32$
[0.5 mark]