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

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

Izrēķināt

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

Atrisinājuma darbības

Aprēķiniet 0,05 pakāpē 2 un iegūstiet 0,0025.

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

Reiziniet 1,2566 un 0,0025, lai iegūtu 0,0031415.

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

Aprēķiniet 10 pakāpē -6 un iegūstiet \frac{1}{1000000}.

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

Reiziniet 0,0031415 un \frac{1}{1000000}, lai iegūtu \frac{6283}{2000000000000}.

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

Reiziniet 8 un 1,58, lai iegūtu 12,64.

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

Reiziniet 12,64 un 154, lai iegūtu 1946,56.

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

Atbrīvojieties no iracionalitātes saucēju ar \frac{1946,56}{0,2\sqrt{123}}, reizinot skaitītāju un saucēju ar \sqrt{123}.

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

Skaitļa \sqrt{123} kvadrāts ir 123.

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

Reiziniet 0,2 un 123, lai iegūtu 24,6.

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

Daliet 1946,56\sqrt{123} ar 24,6, lai iegūtu \frac{48664}{615}\sqrt{123}.

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

Reiziniet \frac{6283}{2000000000000} un \frac{48664}{615}, lai iegūtu \frac{38219489}{153750000000000}.

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

Atbrīvojieties no iracionalitātes saucēju ar \frac{2}{\frac{38219489}{153750000000000}\sqrt{123}}, reizinot skaitītāju un saucēju ar \sqrt{123}.

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

Skaitļa \sqrt{123} kvadrāts ir 123.

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

Reiziniet \frac{38219489}{153750000000000} un 123, lai iegūtu \frac{38219489}{1250000000000}.

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

Daliet 2\sqrt{123} ar \frac{38219489}{1250000000000}, reizinot 2\sqrt{123} ar apgriezto daļskaitli \frac{38219489}{1250000000000} .

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

Reiziniet 2 un 1250000000000, lai iegūtu 2500000000000.

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