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

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

Ebaluatu

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

Ebazpidea

Sinplifikatu 2 eta 2.

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

6528 lortzeko, biderkatu 408 eta 16.

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

\frac{1}{10000000000000000000} lortzeko, egin 10 ber -19.

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

\frac{51}{78125000000000000} lortzeko, biderkatu 6528 eta \frac{1}{10000000000000000000}.

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

\frac{78125000000000051}{78125000000000000} lortzeko, gehitu 1 eta \frac{51}{78125000000000000}.

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

334 lortzeko, biderkatu 2 eta 167.

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

\frac{1}{1000000000000000000000000000} lortzeko, egin 10 ber -27.

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

\frac{167}{500000000000000000000000000} lortzeko, biderkatu 334 eta \frac{1}{1000000000000000000000000000}.

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

100000000 lortzeko, egin 10 ber 8.

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

300000000 lortzeko, biderkatu 3 eta 100000000.

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

90000000000000000 lortzeko, egin 300000000 ber 2.

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

\frac{1503}{50000000000} lortzeko, biderkatu \frac{167}{500000000000000000000000000} eta 90000000000000000.

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

Zatitu \frac{78125000000000051}{78125000000000000} balioa \frac{1503}{50000000000} frakzioarekin, \frac{78125000000000051}{78125000000000000} balioa \frac{1503}{50000000000} frakzioaren frakzio erreziprokoarekin biderkatuz.

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

\frac{78125000000000051}{2348437500} lortzeko, biderkatu \frac{78125000000000051}{78125000000000000} eta \frac{50000000000}{1503}.

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

Berridatzi zatiketaren erro karratua (\sqrt{\frac{78125000000000051}{2348437500}}) erro karratuen zatiketa gisa (\frac{\sqrt{78125000000000051}}{\sqrt{2348437500}}).

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

2348437500=3750^{2}\times 167 faktorea. Berridatzi biderketaren erro karratua (\sqrt{3750^{2}\times 167}) \sqrt{3750^{2}}\sqrt{167} erro karratuen biderkadura gisa. Atera 3750^{2} balioaren erro karratua.

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

Adierazi \frac{\sqrt{78125000000000051}}{3750\sqrt{167}} balioaren izendatzailea zenbaki arrazional gisa. Horretarako, egin zenbakitzailea eta izendatzailea bider \sqrt{167}.

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

\sqrt{167} zenbakiaren karratua 167 da.

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

\sqrt{78125000000000051} eta \sqrt{167} biderkatzeko, biderkatu erro karratuaren azpiko zenbakiak.

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

626250 lortzeko, biderkatu 3750 eta 167.

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

\frac{1}{1000000000000000000000000000} lortzeko, egin 10 ber -27.

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

\frac{167}{1000000000000000000000000000} lortzeko, biderkatu 167 eta \frac{1}{1000000000000000000000000000}.

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

100000000 lortzeko, egin 10 ber 8.

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

300000000 lortzeko, biderkatu 3 eta 100000000.

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

90000000000000000 lortzeko, egin 300000000 ber 2.

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

\frac{1503}{100000000000} lortzeko, biderkatu \frac{167}{1000000000000000000000000000} eta 90000000000000000.

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

Egin \frac{1503}{100000000000} bider \frac{\sqrt{13046875000000008517}}{626250}, zenbakitzailea zenbakitzailearekin eta izendatzailea eta izendatzailearekin biderkatuta.

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

Sinplifikatu 501 zenbakitzailean eta izendatzailean.

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

125000000000000 lortzeko, biderkatu 1250 eta 100000000000.

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