Question

Between which two consecutive whole numbers does $\sqrt{76}$ lie?

• A. 7 and 8
• B. 8 and 9
• C. 9 and 10
• D. 10 and 11

Answer 1

The correct option is B 8 and 9

Suppose $\sqrt{76}$ lie between two whole numbers $a$ and $b$, such that $a$ $>$ $b$.
$\because$ $8^2=64<76$ and,
$9^2=81>76$
$\Rightarrow a<\sqrt{76}<b$
This is possible for $a=8$ and $b=9$.
Thus $a=8andb=9$