The square root of $\sqrt {(50)} + \sqrt {(48)} $ is
${2^{1/4}}(3 + \sqrt 2 )$
${2^{1/4}}(\sqrt 3 + 2)$
${2^{1/4}}(2 + \sqrt 2 )$
${2^{1/4}}(\sqrt 3 + \sqrt 2 )$
If ${({a^m})^n} = {a^{{m^n}}}$, then the value of $'m'$ in terms of $'n'$ is
${{\sqrt {(5/2)} + \sqrt {(7 - 3\sqrt 5 )} } \over {\sqrt {(7/2)} + \sqrt {(16 - 5\sqrt 7 )} }}=$
The cube root of $9\sqrt 3 + 11\sqrt 2 $ is
The value of $\sqrt {[12 - \sqrt {(68 + 48\sqrt 2 )} ]} = $
If ${a^x} = {b^y} = {(ab)^{xy}},$ then $x + y = $