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

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

Aromātai

$$\frac{40000000\sqrt{910}}{91}\approx 13259870.882635918$$

Ngā Upane Otinga

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

$$\sqrt{\frac{2\times 16\times 500\times 10^{12}}{91}}$$

Whakareatia te 2 ki te 16, ka 32.

$$\sqrt{\frac{32\times 500\times 10^{12}}{91}}$$

Whakareatia te 32 ki te 500, ka 16000.

$$\sqrt{\frac{16000\times 10^{12}}{91}}$$

Tātaihia te 10 mā te pū o 12, kia riro ko 1000000000000.

$$\sqrt{\frac{16000\times 1000000000000}{91}}$$

Whakareatia te 16000 ki te 1000000000000, ka 16000000000000000.

$$\sqrt{\frac{16000000000000000}{91}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{16000000000000000}{91}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{16000000000000000}}{\sqrt{91}}.

$$\frac{\sqrt{16000000000000000}}{\sqrt{91}}$$

Tauwehea te 16000000000000000=40000000^{2}\times 10. Tuhia anō te pūtake rua o te hua \sqrt{40000000^{2}\times 10} hei hua o ngā pūtake rua \sqrt{40000000^{2}}\sqrt{10}. Tuhia te pūtakerua o te 40000000^{2}.

$$\frac{40000000\sqrt{10}}{\sqrt{91}}$$

Whakangāwaritia te tauraro o \frac{40000000\sqrt{10}}{\sqrt{91}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{91}.

$$\frac{40000000\sqrt{10}\sqrt{91}}{\left(\sqrt{91}\right)^{2}}$$

Ko te pūrua o \sqrt{91} ko 91.

$$\frac{40000000\sqrt{10}\sqrt{91}}{91}$$

Hei whakarea \sqrt{10} me \sqrt{91}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{40000000\sqrt{910}}{91}$$