# An irrational number between

Question:

An irrational number between $\sqrt{2}$ and $\sqrt{3}$ is

(a) $(\sqrt{2}+\sqrt{3})$

(b) $\sqrt{2} \times \sqrt{3}$

(c) $5^{1 / 4}$

(d) $6^{1 / 4}$

Solution:

(d) $6^{1 / 4}$

An irrational number between $\sqrt{2}$ and $\sqrt{3}$ :

$\sqrt{\sqrt{2} \times \sqrt{3}}=6^{\frac{1}{4}}$