Question

Racionalize o denominador de cada uma das expressões:

Answer 1

Resposta:

a)

$\frac{2}{\sqrt{5} } *\frac{\sqrt{5}}{\sqrt{5}} = \frac{2\sqrt{5}}{\sqrt{25}} = \frac{2\sqrt{5}}{5}$

b)

$\frac{2\sqrt{3} }{\sqrt{2} } *\frac{\sqrt{2}}{\sqrt{2}} = \frac{2\sqrt{6}}{\sqrt{4}} = \frac{2\sqrt{6}}{2}$

c)

$\frac{\sqrt{5} }{2\sqrt{3} } *\frac{\sqrt{3}}{\sqrt{3}} = \frac{\sqrt{15}}{2\sqrt{9} } = \frac{\sqrt{15}}{6}$

d)

$\frac{4}{\sqrt{6} } *\frac{\sqrt{6}}{\sqrt{6}} = \frac{4\sqrt{6}}{\sqrt{36}} = \frac{4\sqrt{6}}{6} = \frac{2\sqrt{6}}{3}$