Whakaoti i te 2*250/0.05^2*1.256610^-6frac{8*1.58*154{sqrt{12}5*0.2}}

$$\frac{ 2 \cdot 250 }{ { 0.05 }^{ 2 } \times 1.2566 { 10 }^{ -6 } \frac{ 8 \cdot 1.58 \cdot 154 }{ \sqrt{ 12 } 5 \cdot 0.2 } }$$

Aromātai

$$\frac{6250000000000000\sqrt{3}}{38219489}\approx 283240771.41129446$$

Ngā Upane Otinga

Whakareatia te 2 ki te 250, ka 500.

$$\frac{500}{1.2566\times 0.05^{2}\times 10^{-6}\times \frac{8\times 1.58\times 154}{0.2\times 5\sqrt{12}}}$$

Tātaihia te 0.05 mā te pū o 2, kia riro ko 0.0025.

$$\frac{500}{1.2566\times 0.0025\times 10^{-6}\times \frac{8\times 1.58\times 154}{0.2\times 5\sqrt{12}}}$$

Whakareatia te 1.2566 ki te 0.0025, ka 0.0031415.

$$\frac{500}{0.0031415\times 10^{-6}\times \frac{8\times 1.58\times 154}{0.2\times 5\sqrt{12}}}$$

Tātaihia te 10 mā te pū o -6, kia riro ko \frac{1}{1000000}.

$$\frac{500}{0.0031415\times \frac{1}{1000000}\times \frac{8\times 1.58\times 154}{0.2\times 5\sqrt{12}}}$$

Whakareatia te 0.0031415 ki te \frac{1}{1000000}, ka \frac{6283}{2000000000000}.

$$\frac{500}{\frac{6283}{2000000000000}\times \frac{8\times 1.58\times 154}{0.2\times 5\sqrt{12}}}$$

Whakareatia te 8 ki te 1.58, ka 12.64.

$$\frac{500}{\frac{6283}{2000000000000}\times \frac{12.64\times 154}{0.2\times 5\sqrt{12}}}$$

Whakareatia te 12.64 ki te 154, ka 1946.56.

$$\frac{500}{\frac{6283}{2000000000000}\times \frac{1946.56}{0.2\times 5\sqrt{12}}}$$

Whakareatia te 0.2 ki te 5, ka 1.

$$\frac{500}{\frac{6283}{2000000000000}\times \frac{1946.56}{\sqrt{12}}}$$

Tauwehea te 12=2^{2}\times 3. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 3} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{3}. Tuhia te pūtakerua o te 2^{2}.

$$\frac{500}{\frac{6283}{2000000000000}\times \frac{1946.56}{2\sqrt{3}}}$$

Whakangāwaritia te tauraro o \frac{1946.56}{2\sqrt{3}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{3}.

$$\frac{500}{\frac{6283}{2000000000000}\times \frac{1946.56\sqrt{3}}{2\left(\sqrt{3}\right)^{2}}}$$

Ko te pūrua o \sqrt{3} ko 3.

$$\frac{500}{\frac{6283}{2000000000000}\times \frac{1946.56\sqrt{3}}{2\times 3}}$$

Whakareatia te 2 ki te 3, ka 6.

$$\frac{500}{\frac{6283}{2000000000000}\times \frac{1946.56\sqrt{3}}{6}}$$

Whakawehea te 1946.56\sqrt{3} ki te 6, kia riro ko \frac{24332}{75}\sqrt{3}.

$$\frac{500}{\frac{6283}{2000000000000}\times \frac{24332}{75}\sqrt{3}}$$

Whakareatia te \frac{6283}{2000000000000} ki te \frac{24332}{75}, ka \frac{38219489}{37500000000000}.

$$\frac{500}{\frac{38219489}{37500000000000}\sqrt{3}}$$

Whakangāwaritia te tauraro o \frac{500}{\frac{38219489}{37500000000000}\sqrt{3}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{3}.

$$\frac{500\sqrt{3}}{\frac{38219489}{37500000000000}\left(\sqrt{3}\right)^{2}}$$

Ko te pūrua o \sqrt{3} ko 3.

$$\frac{500\sqrt{3}}{\frac{38219489}{37500000000000}\times 3}$$

Whakareatia te \frac{38219489}{37500000000000} ki te 3, ka \frac{38219489}{12500000000000}.

$$\frac{500\sqrt{3}}{\frac{38219489}{12500000000000}}$$

Whakawehe 500\sqrt{3} ki te \frac{38219489}{12500000000000} mā te whakarea 500\sqrt{3} ki te tau huripoki o \frac{38219489}{12500000000000}.

$$\frac{500\sqrt{3}\times 12500000000000}{38219489}$$

Whakareatia te 500 ki te 12500000000000, ka 6250000000000000.

$$\frac{6250000000000000\sqrt{3}}{38219489}$$