Question

Racionalize o denominador de cada uma das expressões

C) 9\√3
F)√3\√6
G) 2√3\5√2
H)3\√5​

Answer 1

Resposta:

C) 3$\sqrt{3}$ , F) $\frac{\sqrt{2}}{2}$ , G) $\frac{\sqrt{6}}{5}$ , H) $\frac{3\sqrt{5} }{5}$

Explicação passo-a-passo:

C) $\frac{9}{\sqrt{3}}*\frac{\sqrt{3}}{\sqrt{3}} = \frac{9\sqrt{3}}{3} = 3\sqrt{3}$

F) $\frac{\sqrt{3}}{\sqrt{6}} * \frac{\sqrt{6}}{\sqrt{6}} = \frac{\sqrt{18}}{6} = \frac{3\sqrt{2}}{6} = \frac{\sqrt{2}}{2}$

G) $\frac{2\sqrt{3} }{5\sqrt{2} } * \frac{\sqrt{2} }{\sqrt{2} } = \frac{2\sqrt{6}}{10}= \frac{\sqrt{6}}{5}$

H) $\frac{3}{\sqrt{5}}*\frac{\sqrt{5}}{\sqrt{5}} = \frac{3\sqrt{5}}{5}$