Whakaoti i te 545/1520*560*sqrt{5222*20/2000}

$$\frac{ 545 }{ 1520 } \times 560 \times \sqrt{ \frac{ 5222 \times 20 }{ 2000 } }$$

Aromātai

$$\frac{763\sqrt{5222}}{38}\approx 1450.973147032$$

Ngā Upane Otinga

Whakahekea te hautanga \frac{545}{1520} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$560\times \frac{109}{304}\sqrt{\frac{5222\times 20}{2000}}$$

Tuhia te 560\times \frac{109}{304} hei hautanga kotahi.

$$\frac{560\times 109}{304}\sqrt{\frac{5222\times 20}{2000}}$$

Whakareatia te 560 ki te 109, ka 61040.

$$\frac{61040}{304}\sqrt{\frac{5222\times 20}{2000}}$$

Whakahekea te hautanga \frac{61040}{304} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 16.

$$\frac{3815}{19}\sqrt{\frac{5222\times 20}{2000}}$$

Whakareatia te 5222 ki te 20, ka 104440.

$$\frac{3815}{19}\sqrt{\frac{104440}{2000}}$$

Whakahekea te hautanga \frac{104440}{2000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 40.

$$\frac{3815}{19}\sqrt{\frac{2611}{50}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{2611}{50}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{2611}}{\sqrt{50}}.

$$\frac{3815}{19}\times \frac{\sqrt{2611}}{\sqrt{50}}$$

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}.

$$\frac{3815}{19}\times \frac{\sqrt{2611}}{5\sqrt{2}}$$

Whakangāwaritia te tauraro o \frac{\sqrt{2611}}{5\sqrt{2}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{2}.

$$\frac{3815}{19}\times \frac{\sqrt{2611}\sqrt{2}}{5\left(\sqrt{2}\right)^{2}}$$

Ko te pūrua o \sqrt{2} ko 2.

$$\frac{3815}{19}\times \frac{\sqrt{2611}\sqrt{2}}{5\times 2}$$

Hei whakarea \sqrt{2611} me \sqrt{2}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{3815}{19}\times \frac{\sqrt{5222}}{5\times 2}$$

Whakareatia te 5 ki te 2, ka 10.

$$\frac{3815}{19}\times \frac{\sqrt{5222}}{10}$$

Me whakarea te \frac{3815}{19} ki te \frac{\sqrt{5222}}{10} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{3815\sqrt{5222}}{19\times 10}$$

Me whakakore tahi te 5 i te taurunga me te tauraro.

$$\frac{763\sqrt{5222}}{2\times 19}$$

Whakareatia te 2 ki te 19, ka 38.

$$\frac{763\sqrt{5222}}{38}$$