Question

Which of the following irrational number lies between $\frac{3}{5}$ and $\frac{9}{10}$

• A. $\frac{\sqrt{8}0}{10}$
• B. $\frac{\sqrt{8}5}{10}$
• C. $\frac{\sqrt{8}2}{10}$
• D. $\frac{\sqrt{8}3}{10}$

Answer 1

The correct option is A $\frac{\sqrt{8}0}{10}$

$\sqrt{3}6<\sqrt{80}<\sqrt{81}$

On dividing with 10, we get

$\frac{6}{10}<\frac{\sqrt{80}}{10}<\frac{9}{10}$