Whakaoti i te sqrt{7/5}*sqrt{3/4}*sqrt{1/3}=

$$\sqrt{ \frac{ 7 }{ 5 } } \times \sqrt{ \frac{ 3 }{ 4 } } \times \sqrt{ \frac{ 1 }{ 3 } } =$$

Aromātai

$$\frac{\sqrt{35}}{10}\approx 0.591607978$$

Ngā Upane Otinga

Hei whakarea \sqrt{\frac{7}{5}} me \sqrt{\frac{3}{4}}, whakareatia ngā tau i raro i te pūtake rua.

$$\sqrt{\frac{21}{20}}\sqrt{\frac{1}{3}}$$

Hei whakarea \sqrt{\frac{21}{20}} me \sqrt{\frac{1}{3}}, whakareatia ngā tau i raro i te pūtake rua.

$$\sqrt{\frac{7}{20}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{7}{20}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{7}}{\sqrt{20}}.

$$\frac{\sqrt{7}}{\sqrt{20}}$$

Tauwehea te 20=2^{2}\times 5. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 5} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{5}. Tuhia te pūtakerua o te 2^{2}.

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

Whakangāwaritia te tauraro o \frac{\sqrt{7}}{2\sqrt{5}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{5}.

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

Ko te pūrua o \sqrt{5} ko 5.

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

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

$$\frac{\sqrt{35}}{2\times 5}$$

Whakareatia te 2 ki te 5, ka 10.

$$\frac{\sqrt{35}}{10}$$