Question

Which of the following irrational number lie between $1$ and $2$?

• A. $\sqrt{2}$
• B. $\sqrt{3}$
• C. $\sqrt{5}$
• D. (a) and (b) above.

Answer 1

The correct option is D (a) and (b) above.

Approximate value of $\sqrt{2}=\mathrm{1.414...}$ lies between 1 and 2.

Approximate value of $\sqrt{3}=\mathrm{1.7320...}$ lies between 1 and 2.

Approximate value of $\sqrt{5}=\mathrm{2.2360...}>2$

Representation of given irrational numbers lying between $1$ and $2$ is on the number line.