Whakaoti i te sqrt{5/7}*sqrt[3]{343/125}=

$$\sqrt { \frac { 5 } { 7 } } \times \sqrt[ 3 ] { \frac { 343 } { 125 } } =$$

Aromātai

$$\frac{\sqrt{35}}{5}\approx 1.183215957$$

Ngā Upane Otinga

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{5}{7}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{5}}{\sqrt{7}}.

$$\frac{\sqrt{5}}{\sqrt{7}}\sqrt[3]{\frac{343}{125}}$$

Whakangāwaritia te tauraro o \frac{\sqrt{5}}{\sqrt{7}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{7}.

$$\frac{\sqrt{5}\sqrt{7}}{\left(\sqrt{7}\right)^{2}}\sqrt[3]{\frac{343}{125}}$$

Ko te pūrua o \sqrt{7} ko 7.

$$\frac{\sqrt{5}\sqrt{7}}{7}\sqrt[3]{\frac{343}{125}}$$

Hei whakarea \sqrt{5} me \sqrt{7}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{\sqrt{35}}{7}\sqrt[3]{\frac{343}{125}}$$

Tātaitia te \sqrt[3]{\frac{343}{125}} kia tae ki \frac{7}{5}.

$$\frac{\sqrt{35}}{7}\times \frac{7}{5}$$

Me whakarea te \frac{\sqrt{35}}{7} ki te \frac{7}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\sqrt{35}\times 7}{7\times 5}$$

Me whakakore tahi te 7 i te taurunga me te tauraro.

$$\frac{\sqrt{35}}{5}$$