Question

Which of the following is an approximate value of $\sqrt{60}$?

• A. 7.45
• B. 7.89
• C. 8.1
• D. 7.73

Answer 1

The correct option is D 7.73

We know:

$7^2=49$
$8^2=64$

Also, $49<60<64$
i.e., $7^2<60<8^2$
$⟹\sqrt{7^2}<\sqrt{60}<\sqrt{8^2}$
i.e., $7<\sqrt{60}<8$

We know:

${77}^2=5929<6000<6084={78}^2$
i.e., $59.29<60.00<60.84$
$⟹\sqrt{59.29}<\sqrt{60.00}<\sqrt{60.84}$
i.e., $7.7<\sqrt{60.00}<7.8$

So, $\sqrt{60}$ lies between 7.7 and 7.8.

Hence, the correct answer is 7.73.