Réitigh 2*250/0.05^2*(1,26*10^-6*frac{8*1,58{sqrt{125}*0.2})^2}

$$\frac { 2 \cdot 250 } { 0.05 ^ { 2 } \cdot ( 1,26 \cdot 10 ^ { - 6 } \cdot \frac { 8 \cdot 1,58 } { \sqrt { 125 } \cdot 0.2 } ) ^ { 2 } }$$

Luacháil

$$\frac{97656250000000000000000}{24770529}\approx 3.942436998 \cdot 10^{15}$$

Céimeanna Réitigh

Méadaigh 2 agus 250 chun 500 a fháil.

$$\frac{500}{0.05^{2}\times \left(1.26\times 10^{-6}\times \frac{8\times 1.58}{0.2\sqrt{125}}\right)^{2}}$$

Ríomh cumhacht 0.05 de 2 agus faigh 0.0025.

$$\frac{500}{0.0025\times \left(1.26\times 10^{-6}\times \frac{8\times 1.58}{0.2\sqrt{125}}\right)^{2}}$$

Ríomh cumhacht 10 de -6 agus faigh \frac{1}{1000000}.

$$\frac{500}{0.0025\times \left(1.26\times \frac{1}{1000000}\times \frac{8\times 1.58}{0.2\sqrt{125}}\right)^{2}}$$

Méadaigh 1.26 agus \frac{1}{1000000} chun \frac{63}{50000000} a fháil.

$$\frac{500}{0.0025\times \left(\frac{63}{50000000}\times \frac{8\times 1.58}{0.2\sqrt{125}}\right)^{2}}$$

Méadaigh 8 agus 1.58 chun 12.64 a fháil.

$$\frac{500}{0.0025\times \left(\frac{63}{50000000}\times \frac{12.64}{0.2\sqrt{125}}\right)^{2}}$$

Fachtóirigh 125=5^{2}\times 5. Athscríobh fréamh cearnach an toraidh \sqrt{5^{2}\times 5} mar thoradh na bhfréamhacha cearnacha \sqrt{5^{2}}\sqrt{5}. Tóg fréamh chearnach 5^{2}.

$$\frac{500}{0.0025\times \left(\frac{63}{50000000}\times \frac{12.64}{0.2\times 5\sqrt{5}}\right)^{2}}$$

Méadaigh 0.2 agus 5 chun 1 a fháil.

$$\frac{500}{0.0025\times \left(\frac{63}{50000000}\times \frac{12.64}{\sqrt{5}}\right)^{2}}$$

Iolraigh an t-uimhreoir agus an t-ainmneoir faoi \sqrt{5} chun ainmneoir \frac{12.64}{\sqrt{5}} a thiontú in uimhir chóimheasta.

$$\frac{500}{0.0025\times \left(\frac{63}{50000000}\times \frac{12.64\sqrt{5}}{\left(\sqrt{5}\right)^{2}}\right)^{2}}$$

Is é 5 uimhir chearnach \sqrt{5}.

$$\frac{500}{0.0025\times \left(\frac{63}{50000000}\times \frac{12.64\sqrt{5}}{5}\right)^{2}}$$

Roinn 12.64\sqrt{5} faoi 5 chun 2.528\sqrt{5} a fháil.

$$\frac{500}{0.0025\times \left(\frac{63}{50000000}\times 2.528\sqrt{5}\right)^{2}}$$

Méadaigh \frac{63}{50000000} agus 2.528 chun \frac{4977}{1562500000} a fháil.

$$\frac{500}{0.0025\times \left(\frac{4977}{1562500000}\sqrt{5}\right)^{2}}$$

Fairsingigh \left(\frac{4977}{1562500000}\sqrt{5}\right)^{2}

$$\frac{500}{0.0025\times \left(\frac{4977}{1562500000}\right)^{2}\left(\sqrt{5}\right)^{2}}$$

Ríomh cumhacht \frac{4977}{1562500000} de 2 agus faigh \frac{24770529}{2441406250000000000}.

$$\frac{500}{0.0025\times \frac{24770529}{2441406250000000000}\left(\sqrt{5}\right)^{2}}$$

Is é 5 uimhir chearnach \sqrt{5}.

$$\frac{500}{0.0025\times \frac{24770529}{2441406250000000000}\times 5}$$

Méadaigh \frac{24770529}{2441406250000000000} agus 5 chun \frac{24770529}{488281250000000000} a fháil.

$$\frac{500}{0.0025\times \frac{24770529}{488281250000000000}}$$

Méadaigh 0.0025 agus \frac{24770529}{488281250000000000} chun \frac{24770529}{195312500000000000000} a fháil.

$$\frac{500}{\frac{24770529}{195312500000000000000}}$$

Roinn 500 faoi \frac{24770529}{195312500000000000000} trí 500 a mhéadú faoi dheilín \frac{24770529}{195312500000000000000}.

$$500\times \frac{195312500000000000000}{24770529}$$

Méadaigh 500 agus \frac{195312500000000000000}{24770529} chun \frac{97656250000000000000000}{24770529} a fháil.

$$\frac{97656250000000000000000}{24770529}$$

Fachtóirigh

$$\frac{2 ^ {16} \cdot 5 ^ {26}}{3 ^ {4} \cdot 7 ^ {2} \cdot 79 ^ {2}} = 3942436998418564\frac{10952700}{24770529} = 3942436998418564.5$$