Question

racionalize o denominador das fracões.

a) $\frac{3}{ \sqrt{2} }$

b) $\frac{1}{ \sqrt{5} }$

c)$\frac{5}{ \sqrt{14} }$

Answer 1

$a) \frac{3}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = \frac{3\sqrt{2}}{\sqrt{2^2}} = \frac{3\sqrt{2}}{2} \\ \\ b) \frac{1}{\sqrt{5}} \times \frac{\sqrt{5}}{\sqrt{5}} = \frac{\sqrt{5}}{\sqrt{5^2}} = \frac{\sqrt{5}}{5} \\ \\ c) \frac{5}{\sqrt{14}} \times \frac{\sqrt{14}}{\sqrt{14}} = \frac{5\sqrt{14}}{\sqrt{14^2}} = \frac{5\sqrt{14}}{14}$