Whakaoti i te 165*sqrt{8/7}*10

$$165 \times \sqrt { 8 / 7 } \times 10$$

Aromātai

$$\frac{3300\sqrt{14}}{7}\approx 1763.924196622$$

Ngā Upane Otinga

Whakareatia te 10 ki te 165, ka 1650.

$$1650\sqrt{\frac{8}{7}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{8}{7}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{8}}{\sqrt{7}}.

$$1650\times \frac{\sqrt{8}}{\sqrt{7}}$$

Tauwehea te 8=2^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 2} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{2}. Tuhia te pūtakerua o te 2^{2}.

$$1650\times \frac{2\sqrt{2}}{\sqrt{7}}$$

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

$$1650\times \frac{2\sqrt{2}\sqrt{7}}{\left(\sqrt{7}\right)^{2}}$$

Ko te pūrua o \sqrt{7} ko 7.

$$1650\times \frac{2\sqrt{2}\sqrt{7}}{7}$$

Hei whakarea \sqrt{2} me \sqrt{7}, whakareatia ngā tau i raro i te pūtake rua.

$$1650\times \frac{2\sqrt{14}}{7}$$

Tuhia te 1650\times \frac{2\sqrt{14}}{7} hei hautanga kotahi.

$$\frac{1650\times 2\sqrt{14}}{7}$$

Whakareatia te 1650 ki te 2, ka 3300.

$$\frac{3300\sqrt{14}}{7}$$