Nyatakan bilangan-bilangan di bawah ini dalam bentuk akar

a) $\frac{\sqrt{3}}{12}$, b) $\frac{\sqrt{2}}{12}$, c) $\frac{\sqrt{3}}{10}$

Pembahasan

Untuk menyederhanakan bentuk akar:
a) $\sqrt{\frac{1}{48}}$ = $\sqrt{\frac{1}{16 \times 3}}$ = $\frac{1}{\sqrt{16 \times 3}}$ = $\frac{1}{4\sqrt{3}}$ = $\frac{1}{4\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}}$ = $\frac{\sqrt{3}}{4 \times 3}$ = $\frac{\sqrt{3}}{12}$
b) $\sqrt{\frac{1}{72}}$ = $\sqrt{\frac{1}{36 \times 2}}$ = $\frac{1}{\sqrt{36 \times 2}}$ = $\frac{1}{6\sqrt{2}}$ = $\frac{1}{6\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}}$ = $\frac{\sqrt{2}}{6 \times 2}$ = $\frac{\sqrt{2}}{12}$
c) $\sqrt{0,03}$ = $\sqrt{\frac{3}{100}}$ = $\frac{\sqrt{3}}{\sqrt{100}}$ = $\frac{\sqrt{3}}{10}$

Jawaban Singkat: a) $\frac{\sqrt{3}}{12}$, b) $\frac{\sqrt{2}}{12}$, c) $\frac{\sqrt{3}}{10}$