Question

From the options, choose the irrational numbers that lie between 10 & 12.

• A. $\sqrt{110}$
• B. $\sqrt{100}$
• C. $\sqrt{135}$
• D. $\sqrt{143}$

Answer 1

Answer: (A), (C), (D)

The correct options are
A $\sqrt{110}$
C $\sqrt{135}$
D $\sqrt{143}$

As ${10}^2=100$ & ${12}^2=144$, hence all the numbers between $\sqrt{100}$ & $\sqrt{144}$ lie between 10 & 12.
We can see that $\sqrt{110}$, $\sqrt{135}$ and $\sqrt{143}$ is the irrational number between $\sqrt{100}$ & $\sqrt{144}$, and they lie between 10 and 12.