Question

AJUDA URGENTEEEEEEE ​

Answer 1

Resposta:

a)

$\frac{5\sqrt{2} }{2\sqrt{5} } = \frac{5\sqrt{2} }{2\sqrt{5} }\,.\,\frac{\sqrt{5} }{\sqrt{5} } = \frac{5\sqrt{10} }{10} = \frac{\sqrt{10} }{2} .$

b)

$\frac{m}{4\sqrt[5]{m^{2}} } = \frac{m}{4\sqrt[5]{m^{2}} }\,.\,\frac{\sqrt[5]{m^{3}} }{\sqrt[5]{m^{3}} } = \frac{m\sqrt[5]{m^{3}} }{4m} = \frac{\sqrt[5]{m^{3}} }{4}.$

c)

$\frac{3m}{\sqrt{10}+\sqrt{7} } = \frac{3m}{\sqrt{10}+\sqrt{7} }\,.\,\frac{\sqrt{10}-\sqrt{7} }{\sqrt{10}-\sqrt{7} } = \frac{3m(\sqrt{10}-\sqrt{7}) }{3} = m(\sqrt{10} - \sqrt{7}).$