If $a = \sqrt{21} - \sqrt{20}$ and $b = \sqrt{18} - \sqrt{17}$,then

The greatest number among $\sqrt[3]{9}, \sqrt[4]{11}, \sqrt[6]{17}$ is

Which is the greatest number among $\sqrt[3]{9}, \sqrt[4]{11}, \sqrt[6]{17}$?

$\frac{3\sqrt{2}}{\sqrt{6} + \sqrt{3}} - \frac{4\sqrt{3}}{\sqrt{6} + \sqrt{2}} + \frac{\sqrt{6}}{\sqrt{3} + \sqrt{2}} = $

If $4^{x} - 3^{x - \frac{1}{2}} = 3^{x + \frac{1}{2}} - 2^{2x - 1}$,then the value of $x$ is equal to

For $x \ne 0$,$\left( \frac{x^l}{x^m} \right)^{(l^2 + lm + m^2)} \left( \frac{x^m}{x^n} \right)^{(m^2 + nm + n^2)} \left( \frac{x^n}{x^l} \right)^{(n^2 + nl + l^2)} = $