Whakaoti i te 3*sqrt{53*7%2}

$$3 \times \sqrt{ 53 \times 7 \% 2 }$$

Aromātai

$$\frac{3\sqrt{742}}{10}\approx 8.171903083$$

Ngā Upane Otinga

Tuhia te 53\times \frac{7}{100} hei hautanga kotahi.

$$3\sqrt{\frac{53\times 7}{100}\times 2}$$

Whakareatia te 53 ki te 7, ka 371.

$$3\sqrt{\frac{371}{100}\times 2}$$

Tuhia te \frac{371}{100}\times 2 hei hautanga kotahi.

$$3\sqrt{\frac{371\times 2}{100}}$$

Whakareatia te 371 ki te 2, ka 742.

$$3\sqrt{\frac{742}{100}}$$

Whakahekea te hautanga \frac{742}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$3\sqrt{\frac{371}{50}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{371}{50}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{371}}{\sqrt{50}}.

$$3\times \frac{\sqrt{371}}{\sqrt{50}}$$

Tauwehea te 50=5^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{5^{2}\times 2} hei hua o ngā pūtake rua \sqrt{5^{2}}\sqrt{2}. Tuhia te pūtakerua o te 5^{2}.

$$3\times \frac{\sqrt{371}}{5\sqrt{2}}$$

Whakangāwaritia te tauraro o \frac{\sqrt{371}}{5\sqrt{2}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{2}.

$$3\times \frac{\sqrt{371}\sqrt{2}}{5\left(\sqrt{2}\right)^{2}}$$

Ko te pūrua o \sqrt{2} ko 2.

$$3\times \frac{\sqrt{371}\sqrt{2}}{5\times 2}$$

Hei whakarea \sqrt{371} me \sqrt{2}, whakareatia ngā tau i raro i te pūtake rua.

$$3\times \frac{\sqrt{742}}{5\times 2}$$

Whakareatia te 5 ki te 2, ka 10.

$$3\times \frac{\sqrt{742}}{10}$$

Tuhia te 3\times \frac{\sqrt{742}}{10} hei hautanga kotahi.

$$\frac{3\sqrt{742}}{10}$$