Whakaoti i te sqrt{4/3*55*10^-9*667*10^-11*314}

$$\sqrt { \frac { 4 } { 3 } \times 55 \times 10 ^ { - 9 } \times 667 \times 10 ^ { - 11 } \times 314 }$$

Aromātai

$$\frac{\sqrt{34557270}}{15000000000}\approx 0.000000392$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te -9 me te -11 kia riro ai te -20.

$$\sqrt{\frac{4}{3}\times 55\times 10^{-20}\times 667\times 314}$$

Whakareatia te \frac{4}{3} ki te 55, ka \frac{220}{3}.

$$\sqrt{\frac{220}{3}\times 10^{-20}\times 667\times 314}$$

Tātaihia te 10 mā te pū o -20, kia riro ko \frac{1}{100000000000000000000}.

$$\sqrt{\frac{220}{3}\times \frac{1}{100000000000000000000}\times 667\times 314}$$

Whakareatia te \frac{220}{3} ki te \frac{1}{100000000000000000000}, ka \frac{11}{15000000000000000000}.

$$\sqrt{\frac{11}{15000000000000000000}\times 667\times 314}$$

Whakareatia te \frac{11}{15000000000000000000} ki te 667, ka \frac{7337}{15000000000000000000}.

$$\sqrt{\frac{7337}{15000000000000000000}\times 314}$$

Whakareatia te \frac{7337}{15000000000000000000} ki te 314, ka \frac{1151909}{7500000000000000000}.

$$\sqrt{\frac{1151909}{7500000000000000000}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{1151909}{7500000000000000000}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{1151909}}{\sqrt{7500000000000000000}}.

$$\frac{\sqrt{1151909}}{\sqrt{7500000000000000000}}$$

Tauwehea te 7500000000000000000=500000000^{2}\times 30. Tuhia anō te pūtake rua o te hua \sqrt{500000000^{2}\times 30} hei hua o ngā pūtake rua \sqrt{500000000^{2}}\sqrt{30}. Tuhia te pūtakerua o te 500000000^{2}.

$$\frac{\sqrt{1151909}}{500000000\sqrt{30}}$$

Whakangāwaritia te tauraro o \frac{\sqrt{1151909}}{500000000\sqrt{30}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{30}.

$$\frac{\sqrt{1151909}\sqrt{30}}{500000000\left(\sqrt{30}\right)^{2}}$$

Ko te pūrua o \sqrt{30} ko 30.

$$\frac{\sqrt{1151909}\sqrt{30}}{500000000\times 30}$$

Hei whakarea \sqrt{1151909} me \sqrt{30}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{\sqrt{34557270}}{500000000\times 30}$$

Whakareatia te 500000000 ki te 30, ka 15000000000.

$$\frac{\sqrt{34557270}}{15000000000}$$