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

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

Izračunaj

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

Koraci rješenja

Izračunajte koliko je 2 na 0,05 da biste dobili 0,0025.

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

Pomnožite 1,2566 i 0,0025 da biste dobili 0,0031415.

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

Izračunajte koliko je -6 na 10 da biste dobili \frac{1}{1000000}.

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

Pomnožite 0,0031415 i \frac{1}{1000000} da biste dobili \frac{6283}{2000000000000}.

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

Pomnožite 8 i 1,58 da biste dobili 12,64.

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

Pomnožite 12,64 i 154 da biste dobili 1946,56.

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

Racionalizirajte nazivnik \frac{1946,56}{0,2\sqrt{123}} množenje brojnik i nazivnik \sqrt{123}.

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

Kvadrat od \sqrt{123} je 123.

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

Pomnožite 0,2 i 123 da biste dobili 24,6.

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

Podijelite 1946,56\sqrt{123} s 24,6 da biste dobili \frac{48664}{615}\sqrt{123}.

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

Pomnožite \frac{6283}{2000000000000} i \frac{48664}{615} da biste dobili \frac{38219489}{153750000000000}.

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

Racionalizirajte nazivnik \frac{2}{\frac{38219489}{153750000000000}\sqrt{123}} množenje brojnik i nazivnik \sqrt{123}.

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

Kvadrat od \sqrt{123} je 123.

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

Pomnožite \frac{38219489}{153750000000000} i 123 da biste dobili \frac{38219489}{1250000000000}.

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

Podijelite 2\sqrt{123} s \frac{38219489}{1250000000000} tako da pomnožite 2\sqrt{123} s brojem recipročnim broju \frac{38219489}{1250000000000}.

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

Pomnožite 2 i 1250000000000 da biste dobili 2500000000000.

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