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

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

Arvuta

$$\frac{2500000000000\sqrt{123}}{38219489}\approx 725450,339381135$$

Lahenduse etapid

Arvutage 2 aste 0,05 ja leidke 0,0025.

$$\frac{2}{1,2566\times 0,0025\times 10^{-6}\times \frac{8\times 1,58\times 154}{0,2\sqrt{123}}}$$

Korrutage 1,2566 ja 0,0025, et leida 0,0031415.

$$\frac{2}{0,0031415\times 10^{-6}\times \frac{8\times 1,58\times 154}{0,2\sqrt{123}}}$$

Arvutage -6 aste 10 ja leidke \frac{1}{1000000}.

$$\frac{2}{0,0031415\times \frac{1}{1000000}\times \frac{8\times 1,58\times 154}{0,2\sqrt{123}}}$$

Korrutage 0,0031415 ja \frac{1}{1000000}, et leida \frac{6283}{2000000000000}.

$$\frac{2}{\frac{6283}{2000000000000}\times \frac{8\times 1,58\times 154}{0,2\sqrt{123}}}$$

Korrutage 8 ja 1,58, et leida 12,64.

$$\frac{2}{\frac{6283}{2000000000000}\times \frac{12,64\times 154}{0,2\sqrt{123}}}$$

Korrutage 12,64 ja 154, et leida 1946,56.

$$\frac{2}{\frac{6283}{2000000000000}\times \frac{1946,56}{0,2\sqrt{123}}}$$

Vabastage \frac{1946,56}{0,2\sqrt{123}} nimetaja irratsionaalsusest, korrutades lugeja ja nimetaja arvuga \sqrt{123}.

$$\frac{2}{\frac{6283}{2000000000000}\times \frac{1946,56\sqrt{123}}{0,2\left(\sqrt{123}\right)^{2}}}$$

\sqrt{123} ruut on 123.

$$\frac{2}{\frac{6283}{2000000000000}\times \frac{1946,56\sqrt{123}}{0,2\times 123}}$$

Korrutage 0,2 ja 123, et leida 24,6.

$$\frac{2}{\frac{6283}{2000000000000}\times \frac{1946,56\sqrt{123}}{24,6}}$$

Jagage 1946,56\sqrt{123} väärtusega 24,6, et leida \frac{48664}{615}\sqrt{123}.

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

Korrutage \frac{6283}{2000000000000} ja \frac{48664}{615}, et leida \frac{38219489}{153750000000000}.

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

Vabastage \frac{2}{\frac{38219489}{153750000000000}\sqrt{123}} nimetaja irratsionaalsusest, korrutades lugeja ja nimetaja arvuga \sqrt{123}.

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

\sqrt{123} ruut on 123.

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

Korrutage \frac{38219489}{153750000000000} ja 123, et leida \frac{38219489}{1250000000000}.

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

Jagage 2\sqrt{123} väärtusega \frac{38219489}{1250000000000}, korrutades 2\sqrt{123} väärtuse \frac{38219489}{1250000000000} pöördväärtusega.

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

Korrutage 2 ja 1250000000000, et leida 2500000000000.

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