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

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

Meta

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

Lausnarskref

Styttu burt 2 og 2.

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

Margfaldaðu 408 og 16 til að fá út 6528.

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

Reiknaðu 10 í -19. veldi og fáðu \frac{1}{10000000000000000000}.

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

Margfaldaðu 6528 og \frac{1}{10000000000000000000} til að fá út \frac{51}{78125000000000000}.

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

Leggðu saman 1 og \frac{51}{78125000000000000} til að fá \frac{78125000000000051}{78125000000000000}.

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

Margfaldaðu 2 og 167 til að fá út 334.

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

Reiknaðu 10 í -27. veldi og fáðu \frac{1}{1000000000000000000000000000}.

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

Margfaldaðu 334 og \frac{1}{1000000000000000000000000000} til að fá út \frac{167}{500000000000000000000000000}.

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

Reiknaðu 10 í 8. veldi og fáðu 100000000.

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

Margfaldaðu 3 og 100000000 til að fá út 300000000.

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

Reiknaðu 300000000 í 2. veldi og fáðu 90000000000000000.

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

Margfaldaðu \frac{167}{500000000000000000000000000} og 90000000000000000 til að fá út \frac{1503}{50000000000}.

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

Deildu \frac{78125000000000051}{78125000000000000} með \frac{1503}{50000000000} með því að margfalda \frac{78125000000000051}{78125000000000000} með umhverfu \frac{1503}{50000000000}.

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

Margfaldaðu \frac{78125000000000051}{78125000000000000} og \frac{50000000000}{1503} til að fá út \frac{78125000000000051}{2348437500}.

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

Endurskrifaðu kvaðratrót deilingar \sqrt{\frac{78125000000000051}{2348437500}} sem deilingu kvaðratróta \frac{\sqrt{78125000000000051}}{\sqrt{2348437500}}.

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

Stuðull 2348437500=3750^{2}\times 167. Endurskrifaðu kvaðratrót margfeldis \sqrt{3750^{2}\times 167} sem margfeldi kvaðratróta \sqrt{3750^{2}}\sqrt{167}. Finndu kvaðratrót 3750^{2}.

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

Gerðu nefnara \frac{\sqrt{78125000000000051}}{3750\sqrt{167}} að ræðri tölu með því að margfalda teljarann og nefnarann með \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} í öðru veldi er 167.

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

Til að margfalda \sqrt{78125000000000051} og \sqrt{167} skaltu margfalda tölurnar undir kvaðratrótinni.

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

Margfaldaðu 3750 og 167 til að fá út 626250.

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

Reiknaðu 10 í -27. veldi og fáðu \frac{1}{1000000000000000000000000000}.

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

Margfaldaðu 167 og \frac{1}{1000000000000000000000000000} til að fá út \frac{167}{1000000000000000000000000000}.

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

Reiknaðu 10 í 8. veldi og fáðu 100000000.

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

Margfaldaðu 3 og 100000000 til að fá út 300000000.

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

Reiknaðu 300000000 í 2. veldi og fáðu 90000000000000000.

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

Margfaldaðu \frac{167}{1000000000000000000000000000} og 90000000000000000 til að fá út \frac{1503}{100000000000}.

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

Margfaldaðu \frac{1503}{100000000000} sinnum \frac{\sqrt{13046875000000008517}}{626250} með því að margfalda teljara sinnum teljara og samnefnara sinnum samnefnara.

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

Styttu burt 501 í bæði teljara og samnefnara.

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

Margfaldaðu 1250 og 100000000000 til að fá út 125000000000000.

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