A rational number between $\sqrt{2}$ and $\sqrt{3}$ is
$1.5$
$\frac{\sqrt{2}+\sqrt{3}}{2}$
$\frac{\sqrt{2}-\sqrt{3}}{2}$
$1.8$
For each question, select the proper option from four options given, to make the statement true : (Final answer only)
$\left(5^{-2}\right)^{3}=\ldots \ldots \ldots$
Divide $12 \sqrt{30}$ by $3 \sqrt{5}$.
prove that
$\frac{x^{a(b-c)}}{x^{b(a-c)}} \div\left(\frac{x^{b}}{x^{a}}\right)^{c}=1$
Express $3 . \overline{5}$ in the $\frac{p}{q}$ form.
Find the value of $a$ :
$\frac{5+2 \sqrt{3}}{7+4 \sqrt{3}}=a-6 \sqrt{3}$