Question

Write an irrational number between $\sqrt{3}$ and $\sqrt{5}$.

Answer 1

An irrational number between $\sqrt{3}$ and $\sqrt{5}$

$\sqrt{\sqrt{3}\times \sqrt{5}}$

$\sqrt{\sqrt{15}}$

$\sqrt{(15{)}^{1/2}}$

$\left(\right(15)-1/2{)}^{1/2}$

$={15}^{1/4}$

$=1.97$