Whakaoti i te 2/0.05^2*1.2566*10^-6*frac{8*1.58*154{sqrt{123}*0.2}}

$$\frac { 2 } { 0.05 ^ { 2 } \cdot 1.2566 \cdot 10 ^ { - 6 } \cdot \frac { 8 \cdot 1.58 \cdot 154 } { \sqrt { 123 } \cdot 0.2 } }$$

Aromātai

$$\frac{2500000000000\sqrt{123}}{38219489}\approx 725450.339381135$$

Ngā Upane Otinga

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

$$\frac{2}{1.2566\times 0.0025\times 10^{-6}\times \frac{8\times 1.58\times 154}{0.2\sqrt{123}}}$$

Whakareatia te 1.2566 ki te 0.0025, ka 0.0031415.

$$\frac{2}{0.0031415\times 10^{-6}\times \frac{8\times 1.58\times 154}{0.2\sqrt{123}}}$$

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

$$\frac{2}{0.0031415\times \frac{1}{1000000}\times \frac{8\times 1.58\times 154}{0.2\sqrt{123}}}$$

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

$$\frac{2}{\frac{6283}{2000000000000}\times \frac{8\times 1.58\times 154}{0.2\sqrt{123}}}$$

Whakareatia te 8 ki te 1.58, ka 12.64.

$$\frac{2}{\frac{6283}{2000000000000}\times \frac{12.64\times 154}{0.2\sqrt{123}}}$$

Whakareatia te 12.64 ki te 154, ka 1946.56.

$$\frac{2}{\frac{6283}{2000000000000}\times \frac{1946.56}{0.2\sqrt{123}}}$$

Whakangāwaritia te tauraro o \frac{1946.56}{0.2\sqrt{123}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{123}.

$$\frac{2}{\frac{6283}{2000000000000}\times \frac{1946.56\sqrt{123}}{0.2\left(\sqrt{123}\right)^{2}}}$$

Ko te pūrua o \sqrt{123} ko 123.

$$\frac{2}{\frac{6283}{2000000000000}\times \frac{1946.56\sqrt{123}}{0.2\times 123}}$$

Whakareatia te 0.2 ki te 123, ka 24.6.

$$\frac{2}{\frac{6283}{2000000000000}\times \frac{1946.56\sqrt{123}}{24.6}}$$

Whakawehea te 1946.56\sqrt{123} ki te 24.6, kia riro ko \frac{48664}{615}\sqrt{123}.

$$\frac{2}{\frac{6283}{2000000000000}\times \frac{48664}{615}\sqrt{123}}$$

Whakareatia te \frac{6283}{2000000000000} ki te \frac{48664}{615}, ka \frac{38219489}{153750000000000}.

$$\frac{2}{\frac{38219489}{153750000000000}\sqrt{123}}$$

Whakangāwaritia te tauraro o \frac{2}{\frac{38219489}{153750000000000}\sqrt{123}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{123}.

$$\frac{2\sqrt{123}}{\frac{38219489}{153750000000000}\left(\sqrt{123}\right)^{2}}$$

Ko te pūrua o \sqrt{123} ko 123.

$$\frac{2\sqrt{123}}{\frac{38219489}{153750000000000}\times 123}$$

Whakareatia te \frac{38219489}{153750000000000} ki te 123, ka \frac{38219489}{1250000000000}.

$$\frac{2\sqrt{123}}{\frac{38219489}{1250000000000}}$$

Whakawehe 2\sqrt{123} ki te \frac{38219489}{1250000000000} mā te whakarea 2\sqrt{123} ki te tau huripoki o \frac{38219489}{1250000000000}.

$$\frac{2\sqrt{123}\times 1250000000000}{38219489}$$

Whakareatia te 2 ki te 1250000000000, ka 2500000000000.

$$\frac{2500000000000\sqrt{123}}{38219489}$$