Whakaoti i te 7/5*sqrt{4/3}

$$\frac { 7 } { 5 } \times \sqrt { \frac { 4 } { 3 } }$$

Aromātai

$$\frac{14\sqrt{3}}{15}\approx 1.616580754$$

Ngā Upane Otinga

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{4}{3}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{4}}{\sqrt{3}}.

$$\frac{7}{5}\times \frac{\sqrt{4}}{\sqrt{3}}$$

Tātaitia te pūtakerua o 4 kia tae ki 2.

$$\frac{7}{5}\times \frac{2}{\sqrt{3}}$$

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

$$\frac{7}{5}\times \frac{2\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

Ko te pūrua o \sqrt{3} ko 3.

$$\frac{7}{5}\times \frac{2\sqrt{3}}{3}$$

Me whakarea te \frac{7}{5} ki te \frac{2\sqrt{3}}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{7\times 2\sqrt{3}}{5\times 3}$$

Whakareatia te 7 ki te 2, ka 14.

$$\frac{14\sqrt{3}}{5\times 3}$$

Whakareatia te 5 ki te 3, ka 15.

$$\frac{14\sqrt{3}}{15}$$