Whakaoti i te sqrt{2*16*10^-19*500/91*10^31}

$$\sqrt{ \frac{ 2 \times 16 \times { 10 }^{ -19 } \times 500 }{ 91 \times { 10 }^{ 31 } } }$$

Aromātai

$$\frac{\sqrt{910}}{22750000000000000000000000}\approx 1.325987088 \cdot 10^{-24}$$

Ngā Upane Otinga

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

$$\sqrt{\frac{2\times 16\times 500}{91\times 10^{50}}}$$

Whakareatia te 2 ki te 16, ka 32.

$$\sqrt{\frac{32\times 500}{91\times 10^{50}}}$$

Whakareatia te 32 ki te 500, ka 16000.

$$\sqrt{\frac{16000}{91\times 10^{50}}}$$

Tātaihia te 10 mā te pū o 50, kia riro ko 100000000000000000000000000000000000000000000000000.

$$\sqrt{\frac{16000}{91\times 100000000000000000000000000000000000000000000000000}}$$

Whakareatia te 91 ki te 100000000000000000000000000000000000000000000000000, ka 9100000000000000000000000000000000000000000000000000.

$$\sqrt{\frac{16000}{9100000000000000000000000000000000000000000000000000}}$$

Whakahekea te hautanga \frac{16000}{9100000000000000000000000000000000000000000000000000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 16000.

$$\sqrt{\frac{1}{568750000000000000000000000000000000000000000000}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{1}{568750000000000000000000000000000000000000000000}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{1}}{\sqrt{568750000000000000000000000000000000000000000000}}.

$$\frac{\sqrt{1}}{\sqrt{568750000000000000000000000000000000000000000000}}$$

Tātaitia te pūtakerua o 1 kia tae ki 1.

$$\frac{1}{\sqrt{568750000000000000000000000000000000000000000000}}$$

Tauwehea te 568750000000000000000000000000000000000000000000=25000000000000000000000^{2}\times 910. Tuhia anō te pūtake rua o te hua \sqrt{25000000000000000000000^{2}\times 910} hei hua o ngā pūtake rua \sqrt{25000000000000000000000^{2}}\sqrt{910}. Tuhia te pūtakerua o te 25000000000000000000000^{2}.

$$\frac{1}{25000000000000000000000\sqrt{910}}$$

Whakangāwaritia te tauraro o \frac{1}{25000000000000000000000\sqrt{910}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{910}.

$$\frac{\sqrt{910}}{25000000000000000000000\left(\sqrt{910}\right)^{2}}$$

Ko te pūrua o \sqrt{910} ko 910.

$$\frac{\sqrt{910}}{25000000000000000000000\times 910}$$

Whakareatia te 25000000000000000000000 ki te 910, ka 22750000000000000000000000.

$$\frac{\sqrt{910}}{22750000000000000000000000}$$