Question

Find two irrational numbers lying between $\sqrt{2}$ and $\sqrt{3}$ .

• A. $1.56$ and $1.67$
• B. $1.3$ and $1.8$
• C. $1.23$ and $1.97$
• D. $1.1$ and $1.9$

Answer 1

Answer: (A)

$1.56$ and $1.67$

We know that

$\sqrt{2}=1.414\sqrt{3}=1.732$

Out of the options only Opt:[A]

$\sqrt{2}<1.56,1.57<\sqrt{3}$

Hence, $1.56,1.67$ lies between $\sqrt{2},\sqrt{3}$