Question

Racionalize os denominares: a) 12/√6 b) 38/(5+√6)

Answer 1

Resposta:

a) 2$\sqrt{6}$

b) 10-2$\sqrt{6}$

Explicação passo-a-passo:

a)

$\frac{12}{\sqrt{6} } = \frac{12}{\sqrt{6} } . \frac{\sqrt{6} }{\sqrt{6} } = \frac{12\sqrt{6} }{6} = 2\sqrt{6}$

b)

$\frac{38}{(5+\sqrt{6}) } =\\ \frac{38}{(5+\sqrt{6})} . \frac{(5-\sqrt{6})}{(5-\sqrt{6})} =\\ \frac{38(5-\sqrt{6})}{(5+\sqrt{6}).(5-\sqrt{6})} = \\\frac{38(5-\sqrt{6})}{25-6} = \\ \frac{38(5-\sqrt{6})}{19} = \\2(5-\sqrt{6} ) = \\10-2\sqrt{6}$