Question

Please help me simplify this

Answer 1

$\bf \begin{cases} 400=2\cdot 2\cdot 2\cdot 2\cdot 5\cdot 5\\ \qquad 2^4\cdot 5\cdot 5 \end{cases}\qquad \cfrac{\sqrt[4]{400}}{\sqrt[4]{5}}\implies \cfrac{\sqrt[4]{2^4\cdot 5\cdot 5}}{\sqrt[4]{5}} \\\\\\ \cfrac{2\sqrt[4]{5\cdot 5}}{\sqrt[4]{5}}\implies \cfrac{2\sqrt[4]{5}\cdot \underline{\sqrt[4]{5}}}{\underline{\sqrt[4]{5}}}\implies 2\sqrt[4]{5}$