Question

Insert two irrational numbers between $\sqrt{3}$ and $\sqrt{8}$.

• A. $\sqrt{3}$ and $\sqrt{6}$
• B. $\sqrt{5}$ and $\sqrt{3}$
• C. $\sqrt{5}$ and $\sqrt{6}$
• D. $\sqrt{5}$ and $\sqrt{10}$

Answer 1

The correct option is C $\sqrt{5}$ and $\sqrt{6}$

We know that, $\sqrt{3}=1.732$ and $\sqrt{8}=2\sqrt{2}=2\times 1.414=2.828$
Thus, the two rational numbers between $1.732$ and $2.828$ can be $2$ and $2.4=\frac{24}{10}$

And two irrational numbers between $\sqrt{3}$ and $\sqrt{8}$ can be $\sqrt{5}$ and $\sqrt{6}$