If $x = 3 - \sqrt{5}$,then $\frac{\sqrt{x}}{\sqrt{2} + \sqrt{3x - 2}} = $

If $2^x = 4^y = 8^z$ and $xyz = 288$,then $\frac{1}{2x} + \frac{1}{4y} + \frac{1}{8z} = $

The rationalizing factor of $a^{1/3} + a^{-1/3}$ is:

For $x \ne 0$,the value of ${\left( {\frac{{{x^l}}}{{{x^m}}}} \right)^{({l^2} + lm + {m^2})}} {\left( {\frac{{{x^m}}}{{{x^n}}}} \right)^{({m^2} + nm + {n^2})}} {\left( {\frac{{{x^n}}}{{{x^l}}}} \right)^{({n^2} + nl + {l^2})}}$ is:

If $\frac{{({2^{n + 1}})^m}({2^{2n}}){2^n}}{{({2^{m + 1}})^n}{2^{2m}}} = 1$,then $m =$

Let $\frac{7}{2^{1/2} + 2^{1/4} + 1} = A + B \cdot 2^{1/4} + C \cdot 2^{1/2} + D \cdot 2^{3/4}$,then find the value of $A + B + C + D$.