Find the value of $b$ :
$\frac{\sqrt{2}+\sqrt{3}}{3 \sqrt{2}-2 \sqrt{3}}=2-b \sqrt{6}$
Rationalise the denominator of the following:
$\frac{2+\sqrt{3}}{2-\sqrt{3}}$
If $x=3+2 \sqrt{2},$ then find the value of $x^{2}+\frac{1}{x^{2}}$ and $x^{3}+\frac{1}{x^{3}}$
Is $\sqrt{8^{2}+15^{2}}$ a rational number or an irrational number ?
Insert a rational number and an irrational number between the following:
$\sqrt{2}$ and $\sqrt{3}$