Whakaoti i te 4sqrt{100/360}

$$4 \sqrt{ \frac{ 100 }{ 360 } }$$

Aromātai

$$\frac{2\sqrt{10}}{3}\approx 2.108185107$$

Ngā Upane Otinga

Whakahekea te hautanga \frac{100}{360} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 20.

$$4\sqrt{\frac{5}{18}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{5}{18}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{5}}{\sqrt{18}}.

$$4\times \frac{\sqrt{5}}{\sqrt{18}}$$

Tauwehea te 18=3^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 2} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{2}. Tuhia te pūtakerua o te 3^{2}.

$$4\times \frac{\sqrt{5}}{3\sqrt{2}}$$

Whakangāwaritia te tauraro o \frac{\sqrt{5}}{3\sqrt{2}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{2}.

$$4\times \frac{\sqrt{5}\sqrt{2}}{3\left(\sqrt{2}\right)^{2}}$$

Ko te pūrua o \sqrt{2} ko 2.

$$4\times \frac{\sqrt{5}\sqrt{2}}{3\times 2}$$

Hei whakarea \sqrt{5} me \sqrt{2}, whakareatia ngā tau i raro i te pūtake rua.

$$4\times \frac{\sqrt{10}}{3\times 2}$$

Whakareatia te 3 ki te 2, ka 6.

$$4\times \frac{\sqrt{10}}{6}$$

Tuhia te 4\times \frac{\sqrt{10}}{6} hei hautanga kotahi.

$$\frac{4\sqrt{10}}{6}$$

Whakawehea te 4\sqrt{10} ki te 6, kia riro ko \frac{2}{3}\sqrt{10}.

$$\frac{2}{3}\sqrt{10}$$