Whakaoti i te frac{sqrt{60^circ}}{8sqrt{3}}

$$\frac { \sqrt { 60 ^ { \circ } } } { 8 \sqrt { 3 } }$$

Aromātai

$$\frac{\sqrt{5}}{4}\approx 0.559016994$$

Ngā Upane Otinga

Tauwehea te 60=2^{2}\times 15. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 15} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{15}. Tuhia te pūtakerua o te 2^{2}.

$$\frac{2\sqrt{15}}{8\sqrt{3}}$$

Me whakakore tahi te 2 i te taurunga me te tauraro.

$$\frac{\sqrt{15}}{4\sqrt{3}}$$

Whakangāwaritia te tauraro o \frac{\sqrt{15}}{4\sqrt{3}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{3}.

$$\frac{\sqrt{15}\sqrt{3}}{4\left(\sqrt{3}\right)^{2}}$$

Ko te pūrua o \sqrt{3} ko 3.

$$\frac{\sqrt{15}\sqrt{3}}{4\times 3}$$

Tauwehea te 15=3\times 5. Tuhia anō te pūtake rua o te hua \sqrt{3\times 5} hei hua o ngā pūtake rua \sqrt{3}\sqrt{5}.

$$\frac{\sqrt{3}\sqrt{5}\sqrt{3}}{4\times 3}$$

Whakareatia te \sqrt{3} ki te \sqrt{3}, ka 3.

$$\frac{3\sqrt{5}}{4\times 3}$$

Whakareatia te 4 ki te 3, ka 12.

$$\frac{3\sqrt{5}}{12}$$

Whakawehea te 3\sqrt{5} ki te 12, kia riro ko \frac{1}{4}\sqrt{5}.

$$\frac{1}{4}\sqrt{5}$$