The value of $\sqrt {[12 - \sqrt {(68 + 48\sqrt 2 )} ]} = $
$2 + \sqrt 2 $
$2 - \sqrt 2 $
$\sqrt 2 - 1$
None of these
If ${{{{({2^{n + 1}})}^m}({2^{2n}}){2^n}} \over {{{({2^{m + 1}})}^n}{2^{2m}}}} = 1,$ then $m =$
${({x^5})^{1/3}}{(16{x^3})^{2/3}}$${\left( {{1 \over 4}{x^{4/9}}} \right)^{ - 3/2}} = $
The equation $\sqrt {(x + 1)} - \sqrt {(x - 1)} = \sqrt {(4x - 1)} $, $x \in R$ has
If ${x^{x\root 3 \of x }} = {(x\,.\,\root 3 \of x )^x},$ then $x =$
Number of Solution of the equation ${(x)^{x\sqrt x }} = {(x\sqrt x )^x}$ are