Sederhanakanlah bentuk akar berikut ini. a. akar(1/3) c.

a. $\frac{\sqrt{3}}{3}$ b. $\frac{\sqrt{6}}{4}$ c. $\frac{\sqrt[3]{9}}{2}$

Pembahasan

a. $\sqrt{\frac{1}{3}} = \frac{\sqrt{1}}{\sqrt{3}} = \frac{1}{\sqrt{3}} = \frac{1}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}} = \frac{\sqrt{3}}{3}$
 b. $\sqrt{\frac{3}{8}} = \frac{\sqrt{3}}{\sqrt{8}} = \frac{\sqrt{3}}{2\sqrt{2}} = \frac{\sqrt{3}}{2\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = \frac{\sqrt{6}}{4}$
c. $(\frac{9}{8})^{\frac{1}{3}} = \frac{\sqrt[3]{9}}{\sqrt[3]{8}} = \frac{\sqrt[3]{9}}{2}$