Whakaoti i te 156div95*141*sqrt{4/314}*2=

$$156 \div 95 \times 141 \times \sqrt{ \frac{ 4 }{ 314 } } \times 2=$$

Aromātai

$$\frac{43992\sqrt{314}}{14915}\approx 52.265519684$$

Ngā Upane Otinga

Whakareatia te 2 ki te 141, ka 282.

$$282\times \frac{156}{95}\sqrt{\frac{4}{314}}$$

Tuhia te 282\times \frac{156}{95} hei hautanga kotahi.

$$\frac{282\times 156}{95}\sqrt{\frac{4}{314}}$$

Whakareatia te 282 ki te 156, ka 43992.

$$\frac{43992}{95}\sqrt{\frac{4}{314}}$$

Whakahekea te hautanga \frac{4}{314} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{43992}{95}\sqrt{\frac{2}{157}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{2}{157}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{2}}{\sqrt{157}}.

$$\frac{43992}{95}\times \frac{\sqrt{2}}{\sqrt{157}}$$

Whakangāwaritia te tauraro o \frac{\sqrt{2}}{\sqrt{157}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{157}.

$$\frac{43992}{95}\times \frac{\sqrt{2}\sqrt{157}}{\left(\sqrt{157}\right)^{2}}$$

Ko te pūrua o \sqrt{157} ko 157.

$$\frac{43992}{95}\times \frac{\sqrt{2}\sqrt{157}}{157}$$

Hei whakarea \sqrt{2} me \sqrt{157}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{43992}{95}\times \frac{\sqrt{314}}{157}$$

Me whakarea te \frac{43992}{95} ki te \frac{\sqrt{314}}{157} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{43992\sqrt{314}}{95\times 157}$$

Whakareatia te 95 ki te 157, ka 14915.

$$\frac{43992\sqrt{314}}{14915}$$