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

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

Ovrednoti

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

Koraki rešitve

Izračunajte potenco 0,05 števila 2, da dobite 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 in 0,0025, da dobite 0,0031415.

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

Izračunajte potenco 10 števila -6, da dobite \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 in \frac{1}{1000000}, da dobite \frac{6283}{2000000000000}.

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

Pomnožite 8 in 1,58, da dobite 12,64.

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

Pomnožite 12,64 in 154, da dobite 1946,56.

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

Racionalizirajte imenovalec \frac{1946,56}{0,2\sqrt{123}} tako, da pomnožite števec in imenovalec s \sqrt{123}.

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

Kvadrat vrednosti \sqrt{123} je 123.

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

Pomnožite 0,2 in 123, da dobite 24,6.

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

Delite 1946,56\sqrt{123} s/z 24,6, da dobite \frac{48664}{615}\sqrt{123}.

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

Pomnožite \frac{6283}{2000000000000} in \frac{48664}{615}, da dobite \frac{38219489}{153750000000000}.

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

Racionalizirajte imenovalec \frac{2}{\frac{38219489}{153750000000000}\sqrt{123}} tako, da pomnožite števec in imenovalec s \sqrt{123}.

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

Kvadrat vrednosti \sqrt{123} je 123.

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

Pomnožite \frac{38219489}{153750000000000} in 123, da dobite \frac{38219489}{1250000000000}.

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

Delite 2\sqrt{123} s/z \frac{38219489}{1250000000000} tako, da pomnožite 2\sqrt{123} z obratno vrednostjo \frac{38219489}{1250000000000}.

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

Pomnožite 2 in 1250000000000, da dobite 2500000000000.

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