Answer
$5\sqrt 2$
Work Step by Step
We know from the radical form of $a^{\frac{m}{n}}$ that $a^{\frac{m}{n}}=\sqrt[n] a^{m}$ (where the indicated root is a real number).
Therefore, $\sqrt[4] 50^{2}=50^{\frac{2}{4}}=50^{\frac{1}{2}}=\sqrt 50$
$\sqrt 50=\sqrt (25\times2)=\sqrt 25\times\sqrt 2=5\sqrt 2$