Whakaoti i te 196(sqrt{306*694/2258})

$$196 ( \sqrt { \frac { 306 \times 694 } { 2258 } } )$$

Aromātai

$$\frac{588\sqrt{13319942}}{1129}\approx 1900.791805549$$

Ngā Upane Otinga

Whakareatia te 306 ki te 694, ka 212364.

$$196\sqrt{\frac{212364}{2258}}$$

Whakahekea te hautanga \frac{212364}{2258} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$196\sqrt{\frac{106182}{1129}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{106182}{1129}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{106182}}{\sqrt{1129}}.

$$196\times \frac{\sqrt{106182}}{\sqrt{1129}}$$

Tauwehea te 106182=3^{2}\times 11798. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 11798} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{11798}. Tuhia te pūtakerua o te 3^{2}.

$$196\times \frac{3\sqrt{11798}}{\sqrt{1129}}$$

Whakangāwaritia te tauraro o \frac{3\sqrt{11798}}{\sqrt{1129}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{1129}.

$$196\times \frac{3\sqrt{11798}\sqrt{1129}}{\left(\sqrt{1129}\right)^{2}}$$

Ko te pūrua o \sqrt{1129} ko 1129.

$$196\times \frac{3\sqrt{11798}\sqrt{1129}}{1129}$$

Hei whakarea \sqrt{11798} me \sqrt{1129}, whakareatia ngā tau i raro i te pūtake rua.

$$196\times \frac{3\sqrt{13319942}}{1129}$$

Tuhia te 196\times \frac{3\sqrt{13319942}}{1129} hei hautanga kotahi.

$$\frac{196\times 3\sqrt{13319942}}{1129}$$

Whakareatia te 196 ki te 3, ka 588.

$$\frac{588\sqrt{13319942}}{1129}$$