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

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

मूल्यांकन करचें

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

सोडोवणी पांवडे

2 आनी 2 रद्द करचें.

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

6528 मेळोवंक 408 आनी 16 गुणचें.

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

\frac{1}{10000000000000000000} मेळोवंक -19 चो 10 पॉवर मेजचो.

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

\frac{51}{78125000000000000} मेळोवंक 6528 आनी \frac{1}{10000000000000000000} गुणचें.

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

\frac{78125000000000051}{78125000000000000} मेळोवंक 1 आनी \frac{51}{78125000000000000} ची बेरीज करची.

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

334 मेळोवंक 2 आनी 167 गुणचें.

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

\frac{1}{1000000000000000000000000000} मेळोवंक -27 चो 10 पॉवर मेजचो.

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

\frac{167}{500000000000000000000000000} मेळोवंक 334 आनी \frac{1}{1000000000000000000000000000} गुणचें.

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

100000000 मेळोवंक 8 चो 10 पॉवर मेजचो.

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

300000000 मेळोवंक 3 आनी 100000000 गुणचें.

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

90000000000000000 मेळोवंक 2 चो 300000000 पॉवर मेजचो.

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

\frac{1503}{50000000000} मेळोवंक \frac{167}{500000000000000000000000000} आनी 90000000000000000 गुणचें.

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

\frac{1503}{50000000000} च्या पुरकाक \frac{78125000000000051}{78125000000000000} गुणून \frac{1503}{50000000000} न \frac{78125000000000051}{78125000000000000} क भाग लावचो.

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

\frac{78125000000000051}{2348437500} मेळोवंक \frac{78125000000000051}{78125000000000000} आनी \frac{50000000000}{1503} गुणचें.

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

\frac{\sqrt{78125000000000051}}{\sqrt{2348437500}} च्या वर्ग मूळाचो भागाकार म्हूण \sqrt{\frac{78125000000000051}{2348437500}} च्या वर्गमूळाचो भागाकार परत बरोवचो.

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

2348437500=3750^{2}\times 167 गुणकपद काडचें. \sqrt{3750^{2}}\sqrt{167} च्या वर्ग मूळाचो गुणाकार म्हूण \sqrt{3750^{2}\times 167} च्या वर्गमूळाचो गुणाकार परत बरोवचो. 3750^{2} चें वर्गमूळ घेवचें.

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

न्युमरेटर आनी डिनोमिनेटर \sqrt{167} न गुणून \frac{\sqrt{78125000000000051}}{3750\sqrt{167}} चो डिनोमिनेटर रेशनलायझ तर्कसंगत करचो.

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

\sqrt{167} चो वर्ग 167 आसा.

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

\sqrt{78125000000000051} आनी \sqrt{167} गुणूंक, वर्गमुळाच्या खाला संख्या गुणची.

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

626250 मेळोवंक 3750 आनी 167 गुणचें.

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

\frac{1}{1000000000000000000000000000} मेळोवंक -27 चो 10 पॉवर मेजचो.

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

\frac{167}{1000000000000000000000000000} मेळोवंक 167 आनी \frac{1}{1000000000000000000000000000} गुणचें.

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

100000000 मेळोवंक 8 चो 10 पॉवर मेजचो.

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

300000000 मेळोवंक 3 आनी 100000000 गुणचें.

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

90000000000000000 मेळोवंक 2 चो 300000000 पॉवर मेजचो.

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

\frac{1503}{100000000000} मेळोवंक \frac{167}{1000000000000000000000000000} आनी 90000000000000000 गुणचें.

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

न्युमरेटर वेळा न्युमरेटराक आनी डिनोमिनेटर वेळा डिनोमिनेटराक गुणून \frac{\sqrt{13046875000000008517}}{626250} वेळा \frac{1503}{100000000000} गुणचें.

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

न्युमरेटर आनी डिनोमिनेटर अशा दोगांचेरूय 501 रद्द करचो.

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

125000000000000 मेळोवंक 1250 आनी 100000000000 गुणचें.

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