Whakaoti i te sqrt{2*200/0.9*5*3.14}

$$\sqrt{ \frac{ 2 \times 200 }{ 0.9 \times 5 \times 3.14 } }$$

Aromātai

$$\frac{200\sqrt{157}}{471}\approx 5.32057923$$

Ngā Upane Otinga

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

$$\sqrt{\frac{2\times 40}{0.9\times 3.14}}$$

Whakareatia te 2 ki te 40, ka 80.

$$\sqrt{\frac{80}{0.9\times 3.14}}$$

Whakareatia te 0.9 ki te 3.14, ka 2.826.

$$\sqrt{\frac{80}{2.826}}$$

Whakarohaina te \frac{80}{2.826} mā te whakarea i te taurunga me te tauraro ki te 1000.

$$\sqrt{\frac{80000}{2826}}$$

Whakahekea te hautanga \frac{80000}{2826} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\sqrt{\frac{40000}{1413}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{40000}{1413}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{40000}}{\sqrt{1413}}.

$$\frac{\sqrt{40000}}{\sqrt{1413}}$$

Tātaitia te pūtakerua o 40000 kia tae ki 200.

$$\frac{200}{\sqrt{1413}}$$

Tauwehea te 1413=3^{2}\times 157. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 157} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{157}. Tuhia te pūtakerua o te 3^{2}.

$$\frac{200}{3\sqrt{157}}$$

Whakangāwaritia te tauraro o \frac{200}{3\sqrt{157}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{157}.

$$\frac{200\sqrt{157}}{3\left(\sqrt{157}\right)^{2}}$$

Ko te pūrua o \sqrt{157} ko 157.

$$\frac{200\sqrt{157}}{3\times 157}$$

Whakareatia te 3 ki te 157, ka 471.

$$\frac{200\sqrt{157}}{471}$$