Question

$\sqrt{90 \div \sqrt{5} }$
efetue e simplifique o resultado ​

Answer 1

  $\sqrt{90\div \sqrt{5}}=$

$=\sqrt{\frac{90}{\sqrt{5}}}=$

$=\sqrt{\frac{2\times 3^{2}\times 5}{5^{\frac{1}{2}}}}=$

$=\sqrt{2\times 3^{2}\times\frac{ 5}{5^{\frac{1}{2}}}}=$

$=\sqrt{2\times 3^{2}\times 5^{1-\frac{1}{2}}}=$

$=\sqrt{2\times 3^{2}\times 5^{\frac{1}{2}}}=$

$=\sqrt{2\times 3^{2}\times \sqrt{5}}=$

$=\sqrt{2}\times \sqrt{3^{2}}\times \sqrt{\sqrt{5}}}=$

$=\sqrt{2}\times 3\times \sqrt[4]{5}=$

$=3\sqrt{2}\sqrt[4]{5}$