Question

Between which two consecutive whole numbers does $\sqrt{95}$ lie?

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

Answer 1

The correct option is C 9 and 10

Suppose $\sqrt{95}$ lies between two whole numbers $a$ and $b$, such that $a$ $<$ $b$
$\because$ $9^2=81<95$ and,
${10}^2=100>95$
$\Rightarrow a<\sqrt{95}<b$
This is possible for $a=9$ and $b=10$.

$\therefore \sqrt{95}$ lies between 9 and 10.