${{12} \over {3 + \sqrt 5 - 2\sqrt 2 }} = $
$1 + \sqrt 5 + \sqrt {(10)} + \sqrt 2 $
$1 + \sqrt 5 - \sqrt {(10)} + \sqrt 2 $
$1 + \sqrt 5 + \sqrt {10} - \sqrt 2 $
$1 - \sqrt 5 - \sqrt 2 + \sqrt {(10)} $
$\root 4 \of {(17 + 12\sqrt 2 )} = $
If $x = \sqrt 7 + \sqrt 3 $ and $xy = 4,$then ${x^4} + {y^4}=$
The value of ${{15} \over {\sqrt {10} + \sqrt {20} + \sqrt {40} - \sqrt 5 - \sqrt {80} }}$ is
The greatest number among $\root 3 \of 9 ,\root 4 \of {11} ,\root 6 \of {17} $ is
For $x \ne 0,{\left( {{{{x^l}} \over {{x^m}}}} \right)^{({l^2} + lm + {m^2})}}$${\left( {{{{x^m}} \over {{x^n}}}} \right)^{({m^2} + nm + {n^2})}}{\left( {{{{x^n}} \over {{x^l}}}} \right)^{({n^2} + nl + {l^2})}}=$