Whakaoti i te sqrt{(1400-83*9.8)*52/83}

$$\sqrt { \frac { ( 1400 - 83 \times 9.8 ) \times 52 } { 83 } }$$

Aromātai

$$\frac{2\sqrt{15823535}}{415}\approx 19.17050948$$

Ngā Upane Otinga

Whakareatia te 83 ki te 9.8, ka 813.4.

$$\sqrt{\frac{\left(1400-813.4\right)\times 52}{83}}$$

Tangohia te 813.4 i te 1400, ka 586.6.

$$\sqrt{\frac{586.6\times 52}{83}}$$

Whakareatia te 586.6 ki te 52, ka 30503.2.

$$\sqrt{\frac{30503.2}{83}}$$

Whakarohaina te \frac{30503.2}{83} mā te whakarea i te taurunga me te tauraro ki te 10.

$$\sqrt{\frac{305032}{830}}$$

Whakahekea te hautanga \frac{305032}{830} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\sqrt{\frac{152516}{415}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{152516}{415}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{152516}}{\sqrt{415}}.

$$\frac{\sqrt{152516}}{\sqrt{415}}$$

Tauwehea te 152516=2^{2}\times 38129. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 38129} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{38129}. Tuhia te pūtakerua o te 2^{2}.

$$\frac{2\sqrt{38129}}{\sqrt{415}}$$

Whakangāwaritia te tauraro o \frac{2\sqrt{38129}}{\sqrt{415}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{415}.

$$\frac{2\sqrt{38129}\sqrt{415}}{\left(\sqrt{415}\right)^{2}}$$

Ko te pūrua o \sqrt{415} ko 415.

$$\frac{2\sqrt{38129}\sqrt{415}}{415}$$

Hei whakarea \sqrt{38129} me \sqrt{415}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{2\sqrt{15823535}}{415}$$