Whakaoti i te sqrt{3.7*10^-9/9*10^9}

$$\sqrt { \frac { 3.7 \times 10 ^ { - 9 } } { 9 \times 10 ^ { 9 } } }$$

Aromātai

$$\frac{\sqrt{370}}{30000000000}\approx 6.411794687 \cdot 10^{-10}$$

Ngā Upane Otinga

Hei whakawehe i ngā pū o te pūtake kotahi, tangohia te taupū o te taurunga i te taupū o te tauraro.

$$\sqrt{\frac{3.7}{9\times 10^{18}}}$$

Tātaihia te 10 mā te pū o 18, kia riro ko 1000000000000000000.

$$\sqrt{\frac{3.7}{9\times 1000000000000000000}}$$

Whakareatia te 9 ki te 1000000000000000000, ka 9000000000000000000.

$$\sqrt{\frac{3.7}{9000000000000000000}}$$

Whakarohaina te \frac{3.7}{9000000000000000000} mā te whakarea i te taurunga me te tauraro ki te 10.

$$\sqrt{\frac{37}{90000000000000000000}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{37}{90000000000000000000}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{37}}{\sqrt{90000000000000000000}}.

$$\frac{\sqrt{37}}{\sqrt{90000000000000000000}}$$

Tauwehea te 90000000000000000000=3000000000^{2}\times 10. Tuhia anō te pūtake rua o te hua \sqrt{3000000000^{2}\times 10} hei hua o ngā pūtake rua \sqrt{3000000000^{2}}\sqrt{10}. Tuhia te pūtakerua o te 3000000000^{2}.

$$\frac{\sqrt{37}}{3000000000\sqrt{10}}$$

Whakangāwaritia te tauraro o \frac{\sqrt{37}}{3000000000\sqrt{10}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{10}.

$$\frac{\sqrt{37}\sqrt{10}}{3000000000\left(\sqrt{10}\right)^{2}}$$

Ko te pūrua o \sqrt{10} ko 10.

$$\frac{\sqrt{37}\sqrt{10}}{3000000000\times 10}$$

Hei whakarea \sqrt{37} me \sqrt{10}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{\sqrt{370}}{3000000000\times 10}$$

Whakareatia te 3000000000 ki te 10, ka 30000000000.

$$\frac{\sqrt{370}}{30000000000}$$