Whakaoti i te 5/2sqrt{10/3}

$$\frac{ 5 }{ 2 } \sqrt{ \frac{ 10 }{ 3 } }$$

Aromātai

$$\frac{5\sqrt{30}}{6}\approx 4.564354646$$

Ngā Upane Otinga

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{10}{3}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{10}}{\sqrt{3}}.

$$\frac{5}{2}\times \frac{\sqrt{10}}{\sqrt{3}}$$

Whakangāwaritia te tauraro o \frac{\sqrt{10}}{\sqrt{3}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{3}.

$$\frac{5}{2}\times \frac{\sqrt{10}\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

Ko te pūrua o \sqrt{3} ko 3.

$$\frac{5}{2}\times \frac{\sqrt{10}\sqrt{3}}{3}$$

Hei whakarea \sqrt{10} me \sqrt{3}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{5}{2}\times \frac{\sqrt{30}}{3}$$

Me whakarea te \frac{5}{2} ki te \frac{\sqrt{30}}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{5\sqrt{30}}{2\times 3}$$

Whakareatia te 2 ki te 3, ka 6.

$$\frac{5\sqrt{30}}{6}$$