$\root 4 \of {(17 + 12\sqrt 2 )} = $
$\sqrt 2 + 1$
${2^{1/4}}(\sqrt 2 + 1)$
$2\sqrt 2 + 1$
None of these
The rationalising factor of ${a^{1/3}} + {a^{ - 1/3}}$ is
If ${a^x} = {b^y} = {(ab)^{xy}},$ then $x + y = $
If ${\left( {{2 \over 3}} \right)^{x + 2}} = {\left( {{3 \over 2}} \right)^{2 - 2x}},$then $x =$
Number of Solution of the equation ${(x)^{x\sqrt x }} = {(x\sqrt x )^x}$ are
The value of ${{15} \over {\sqrt {10} + \sqrt {20} + \sqrt {40} - \sqrt 5 - \sqrt {80} }}$ is