Question

Racionalize → A questão da foto​

Answer 1

Explicação passo-a-passo:

a)

$\frac{7\sqrt{5} }{\sqrt{5} }=7$

b)

$\frac{3}{\sqrt{8} } .\frac{\sqrt{8} }{\sqrt{8} } = \frac{3\sqrt{8} }{\sqrt{64} }=\frac{3\sqrt{8} }{8}$

c)

$\frac{6}{\sqrt{145} }.\frac{\sqrt{145} }{\sqrt{145}} = \frac{6\sqrt{145}}{\sqrt{21025}} =\frac{6\sqrt{145}}{145}$

d)

$\frac{8}{\sqrt[3]{6} }.\frac{\sqrt[3]{6^{2} }}{\sqrt[3]{6^{2} }} \\=\frac{8\sqrt[3]{6^{2} }}{\sqrt[3]{6^{3} }} \\= \frac{8\sqrt[3]{6^{2} } }{6}\\=\frac{4\sqrt[3]{36} }{3}$

e)

$\frac{8}{\sqrt[3]{27} }.\frac{\sqrt[3]{27^{2} } }{\sqrt[3]{27^{2} } } \\=\frac{8\sqrt[3]{27^{2} } }{\sqrt[3]{27^{3} } }\\= \frac{8\sqrt[3]{729 } }{27}\\=\frac{8.9}{27}\\= \frac{72}{27}\\=\frac{8}{3}$