Question

An irrational number between $\sqrt{2}\mathrm{and}\sqrt{3}$is
(a) $\left(\sqrt{2}+\sqrt{3}\right)$
(b) $\sqrt{2}\times \sqrt{3}$
(c) 5^1/4
(d) 6^1/4

Answer 1

(d) 6^1/4
An irrational number between $$\begin{gathered} \sqrt{2}\mathrm{and}\sqrt{3}: \\ \sqrt{\sqrt{2}\times \sqrt{3}}=6^{\frac{1}{4}} \end{gathered}$$