Whakaoti i te sqrt{3*6626*10^-34/8*91*10^-28*2*10^14}

$$\sqrt{ \frac{ 3 \times 6626 \times { 10 }^{ -34 } }{ 8 \times 91 \times { 10 }^{ -28 } \times 2 \times { 10 }^{ 14 } } }$$

Aromātai

$$\frac{\sqrt{1808898}}{3640000000000}\approx 3.69492524 \cdot 10^{-10}$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te -28 me te 14 kia riro ai te -14.

$$\sqrt{\frac{3\times 6626\times 10^{-34}}{8\times 91\times 10^{-14}\times 2}}$$

Me whakakore tahi te 2 i te taurunga me te tauraro.

$$\sqrt{\frac{3\times 3313\times 10^{-34}}{2\times 4\times 91\times 10^{-14}}}$$

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

$$\sqrt{\frac{3\times 3313}{2\times 4\times 91\times 10^{20}}}$$

Whakareatia te 3 ki te 3313, ka 9939.

$$\sqrt{\frac{9939}{2\times 4\times 91\times 10^{20}}}$$

Whakareatia te 2 ki te 4, ka 8.

$$\sqrt{\frac{9939}{8\times 91\times 10^{20}}}$$

Whakareatia te 8 ki te 91, ka 728.

$$\sqrt{\frac{9939}{728\times 10^{20}}}$$

Tātaihia te 10 mā te pū o 20, kia riro ko 100000000000000000000.

$$\sqrt{\frac{9939}{728\times 100000000000000000000}}$$

Whakareatia te 728 ki te 100000000000000000000, ka 72800000000000000000000.

$$\sqrt{\frac{9939}{72800000000000000000000}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{9939}{72800000000000000000000}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{9939}}{\sqrt{72800000000000000000000}}.

$$\frac{\sqrt{9939}}{\sqrt{72800000000000000000000}}$$

Tauwehea te 72800000000000000000000=20000000000^{2}\times 182. Tuhia anō te pūtake rua o te hua \sqrt{20000000000^{2}\times 182} hei hua o ngā pūtake rua \sqrt{20000000000^{2}}\sqrt{182}. Tuhia te pūtakerua o te 20000000000^{2}.

$$\frac{\sqrt{9939}}{20000000000\sqrt{182}}$$

Whakangāwaritia te tauraro o \frac{\sqrt{9939}}{20000000000\sqrt{182}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{182}.

$$\frac{\sqrt{9939}\sqrt{182}}{20000000000\left(\sqrt{182}\right)^{2}}$$

Ko te pūrua o \sqrt{182} ko 182.

$$\frac{\sqrt{9939}\sqrt{182}}{20000000000\times 182}$$

Hei whakarea \sqrt{9939} me \sqrt{182}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{\sqrt{1808898}}{20000000000\times 182}$$

Whakareatia te 20000000000 ki te 182, ka 3640000000000.

$$\frac{\sqrt{1808898}}{3640000000000}$$