Question

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

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

Answer 1

The correct option is A 9 and 10

Suppose $\sqrt{95}$ lies between two whole numbers $a$ and $b$, such that $a$ $<$ $b$

$\because$ $9^2=81<95$ and
${10}^2=100>95$
$\therefore a<\sqrt{95}<b$
This is possible for $a=9$ and $b=10$.

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