Réitigh sqrt{frac{1+408*1610^-19/2*16710^-27left(310^8right)^2}2*167{10}^-27{left(3{10}^8right)}^2}{2}

$$\frac{ \sqrt{ \frac{ 1+408 \cdot 16 { 10 }^{ -19 } }{ 2 \cdot 167 { 10 }^{ -27 } { \left(3 { 10 }^{ 8 } \right) }^{ 2 } } } 2 \cdot 167 { 10 }^{ -27 } { \left(3 { 10 }^{ 8 } \right) }^{ 2 } }{ 2 }$$

Luacháil

$$\frac{3\sqrt{13046875000000008517}}{125000000000000}\approx 0.000086689$$

Céimeanna Réitigh

Cealaigh 2 agus 2.

$$167\sqrt{\frac{1+408\times 16\times 10^{-19}}{2\times 167\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Méadaigh 408 agus 16 chun 6528 a fháil.

$$167\sqrt{\frac{1+6528\times 10^{-19}}{2\times 167\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Ríomh cumhacht 10 de -19 agus faigh \frac{1}{10000000000000000000}.

$$167\sqrt{\frac{1+6528\times \frac{1}{10000000000000000000}}{2\times 167\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Méadaigh 6528 agus \frac{1}{10000000000000000000} chun \frac{51}{78125000000000000} a fháil.

$$167\sqrt{\frac{1+\frac{51}{78125000000000000}}{2\times 167\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Suimigh 1 agus \frac{51}{78125000000000000} chun \frac{78125000000000051}{78125000000000000} a fháil.

$$167\sqrt{\frac{\frac{78125000000000051}{78125000000000000}}{2\times 167\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Méadaigh 2 agus 167 chun 334 a fháil.

$$167\sqrt{\frac{\frac{78125000000000051}{78125000000000000}}{334\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Ríomh cumhacht 10 de -27 agus faigh \frac{1}{1000000000000000000000000000}.

$$167\sqrt{\frac{\frac{78125000000000051}{78125000000000000}}{334\times \frac{1}{1000000000000000000000000000}\times \left(3\times 10^{8}\right)^{2}}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Méadaigh 334 agus \frac{1}{1000000000000000000000000000} chun \frac{167}{500000000000000000000000000} a fháil.

$$167\sqrt{\frac{\frac{78125000000000051}{78125000000000000}}{\frac{167}{500000000000000000000000000}\times \left(3\times 10^{8}\right)^{2}}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Ríomh cumhacht 10 de 8 agus faigh 100000000.

$$167\sqrt{\frac{\frac{78125000000000051}{78125000000000000}}{\frac{167}{500000000000000000000000000}\times \left(3\times 100000000\right)^{2}}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Méadaigh 3 agus 100000000 chun 300000000 a fháil.

$$167\sqrt{\frac{\frac{78125000000000051}{78125000000000000}}{\frac{167}{500000000000000000000000000}\times 300000000^{2}}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Ríomh cumhacht 300000000 de 2 agus faigh 90000000000000000.

$$167\sqrt{\frac{\frac{78125000000000051}{78125000000000000}}{\frac{167}{500000000000000000000000000}\times 90000000000000000}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Méadaigh \frac{167}{500000000000000000000000000} agus 90000000000000000 chun \frac{1503}{50000000000} a fháil.

$$167\sqrt{\frac{\frac{78125000000000051}{78125000000000000}}{\frac{1503}{50000000000}}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Roinn \frac{78125000000000051}{78125000000000000} faoi \frac{1503}{50000000000} trí \frac{78125000000000051}{78125000000000000} a mhéadú faoi dheilín \frac{1503}{50000000000}.

$$167\sqrt{\frac{78125000000000051}{78125000000000000}\times \frac{50000000000}{1503}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Méadaigh \frac{78125000000000051}{78125000000000000} agus \frac{50000000000}{1503} chun \frac{78125000000000051}{2348437500} a fháil.

$$167\sqrt{\frac{78125000000000051}{2348437500}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Athscríobh fréamh cearnach na roinnte \sqrt{\frac{78125000000000051}{2348437500}} mar roinnt na bhfréamhacha cearnacha \frac{\sqrt{78125000000000051}}{\sqrt{2348437500}}.

$$167\times \frac{\sqrt{78125000000000051}}{\sqrt{2348437500}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Fachtóirigh 2348437500=3750^{2}\times 167. Athscríobh fréamh cearnach an toraidh \sqrt{3750^{2}\times 167} mar thoradh na bhfréamhacha cearnacha \sqrt{3750^{2}}\sqrt{167}. Tóg fréamh chearnach 3750^{2}.

$$167\times \frac{\sqrt{78125000000000051}}{3750\sqrt{167}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Iolraigh an t-uimhreoir agus an t-ainmneoir faoi \sqrt{167} chun ainmneoir \frac{\sqrt{78125000000000051}}{3750\sqrt{167}} a thiontú in uimhir chóimheasta.

$$167\times \frac{\sqrt{78125000000000051}\sqrt{167}}{3750\left(\sqrt{167}\right)^{2}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Is é 167 uimhir chearnach \sqrt{167}.

$$167\times \frac{\sqrt{78125000000000051}\sqrt{167}}{3750\times 167}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Iolraigh na huimhreacha faoin bhfréamh cearnach chun \sqrt{78125000000000051} agus \sqrt{167} a iolrú.

$$167\times \frac{\sqrt{13046875000000008517}}{3750\times 167}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Méadaigh 3750 agus 167 chun 626250 a fháil.

$$167\times \frac{\sqrt{13046875000000008517}}{626250}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Ríomh cumhacht 10 de -27 agus faigh \frac{1}{1000000000000000000000000000}.

$$167\times \frac{\sqrt{13046875000000008517}}{626250}\times \frac{1}{1000000000000000000000000000}\times \left(3\times 10^{8}\right)^{2}$$

Méadaigh 167 agus \frac{1}{1000000000000000000000000000} chun \frac{167}{1000000000000000000000000000} a fháil.

$$\frac{167}{1000000000000000000000000000}\times \frac{\sqrt{13046875000000008517}}{626250}\times \left(3\times 10^{8}\right)^{2}$$

Ríomh cumhacht 10 de 8 agus faigh 100000000.

$$\frac{167}{1000000000000000000000000000}\times \frac{\sqrt{13046875000000008517}}{626250}\times \left(3\times 100000000\right)^{2}$$

Méadaigh 3 agus 100000000 chun 300000000 a fháil.

$$\frac{167}{1000000000000000000000000000}\times \frac{\sqrt{13046875000000008517}}{626250}\times 300000000^{2}$$

Ríomh cumhacht 300000000 de 2 agus faigh 90000000000000000.

$$\frac{167}{1000000000000000000000000000}\times \frac{\sqrt{13046875000000008517}}{626250}\times 90000000000000000$$

Méadaigh \frac{167}{1000000000000000000000000000} agus 90000000000000000 chun \frac{1503}{100000000000} a fháil.

$$\frac{1503}{100000000000}\times \frac{\sqrt{13046875000000008517}}{626250}$$

Méadaigh \frac{1503}{100000000000} faoi \frac{\sqrt{13046875000000008517}}{626250} tríd an uimhreoir a mhéadú faoin uimhreoir agus an t-ainmneoir a mhéadú faoin ainmneoir.

$$\frac{1503\sqrt{13046875000000008517}}{100000000000\times 626250}$$

Cealaigh 501 mar uimhreoir agus ainmneoir.

$$\frac{3\sqrt{13046875000000008517}}{1250\times 100000000000}$$

Méadaigh 1250 agus 100000000000 chun 125000000000000 a fháil.

$$\frac{3\sqrt{13046875000000008517}}{125000000000000}$$