Question

reduza a um único radical
$\frac{ \sqrt{40 \div \sqrt{5} } }{ \sqrt{8} }$
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Answer 1

$\frac{\sqrt{40 \div \sqrt{5}}}{\sqrt{8}}~=~\sqrt{\frac{40 \div \sqrt{5}}{8}}~=~\sqrt{\frac{40}{8.\sqrt{5}}}~=~\sqrt{\frac{5}{\sqrt{5}}}~=~\frac{\sqrt{5}}{\sqrt[4]{5}}~=~5^{\frac{1}{2}-\frac{1}{4}}~=~5^{\frac{1}{4}}~=~\boxed{\sqrt[4]{5}}$