सोडोवचें 6*62*6*10^-24/sqrt{2*167*10^-27*81*9*10^-16}

$$\frac { 6 \cdot 62 \cdot 6 \times 10 ^ { - 24 } } { \sqrt { 2 \times 167 \times 10 ^ { - 27 } \times 81 \cdot 9 \times 10 ^ { - 16 } } }$$

मूल्यांकन करचें

$$\frac{31\sqrt{835}}{62625}\approx 0.01430399$$

सोडोवणी पांवडे

समान मूळाचो पावर गुणूंक, ताचो ऍक्सपोनंट जोडचो. -43 मेळोवंक -27 आनी -16 जोडचो.

$$\frac{6\times 62\times 6\times 10^{-24}}{\sqrt{2\times 167\times 10^{-43}\times 81\times 9}}$$

372 मेळोवंक 6 आनी 62 गुणचें.

$$\frac{372\times 6\times 10^{-24}}{\sqrt{2\times 167\times 10^{-43}\times 81\times 9}}$$

2232 मेळोवंक 372 आनी 6 गुणचें.

$$\frac{2232\times 10^{-24}}{\sqrt{2\times 167\times 10^{-43}\times 81\times 9}}$$

\frac{1}{1000000000000000000000000} मेळोवंक -24 चो 10 पॉवर मेजचो.

$$\frac{2232\times \frac{1}{1000000000000000000000000}}{\sqrt{2\times 167\times 10^{-43}\times 81\times 9}}$$

\frac{279}{125000000000000000000000} मेळोवंक 2232 आनी \frac{1}{1000000000000000000000000} गुणचें.

$$\frac{\frac{279}{125000000000000000000000}}{\sqrt{2\times 167\times 10^{-43}\times 81\times 9}}$$

334 मेळोवंक 2 आनी 167 गुणचें.

$$\frac{\frac{279}{125000000000000000000000}}{\sqrt{334\times 10^{-43}\times 81\times 9}}$$

\frac{1}{10000000000000000000000000000000000000000000} मेळोवंक -43 चो 10 पॉवर मेजचो.

$$\frac{\frac{279}{125000000000000000000000}}{\sqrt{334\times \frac{1}{10000000000000000000000000000000000000000000}\times 81\times 9}}$$

\frac{167}{5000000000000000000000000000000000000000000} मेळोवंक 334 आनी \frac{1}{10000000000000000000000000000000000000000000} गुणचें.

$$\frac{\frac{279}{125000000000000000000000}}{\sqrt{\frac{167}{5000000000000000000000000000000000000000000}\times 81\times 9}}$$

\frac{13527}{5000000000000000000000000000000000000000000} मेळोवंक \frac{167}{5000000000000000000000000000000000000000000} आनी 81 गुणचें.

$$\frac{\frac{279}{125000000000000000000000}}{\sqrt{\frac{13527}{5000000000000000000000000000000000000000000}\times 9}}$$

\frac{121743}{5000000000000000000000000000000000000000000} मेळोवंक \frac{13527}{5000000000000000000000000000000000000000000} आनी 9 गुणचें.

$$\frac{\frac{279}{125000000000000000000000}}{\sqrt{\frac{121743}{5000000000000000000000000000000000000000000}}}$$

\frac{\sqrt{121743}}{\sqrt{5000000000000000000000000000000000000000000}} च्या वर्ग मूळाचो भागाकार म्हूण \sqrt{\frac{121743}{5000000000000000000000000000000000000000000}} च्या वर्गमूळाचो भागाकार परत बरोवचो.

$$\frac{\frac{279}{125000000000000000000000}}{\frac{\sqrt{121743}}{\sqrt{5000000000000000000000000000000000000000000}}}$$

121743=27^{2}\times 167 गुणकपद काडचें. \sqrt{27^{2}}\sqrt{167} च्या वर्ग मूळाचो गुणाकार म्हूण \sqrt{27^{2}\times 167} च्या वर्गमूळाचो गुणाकार परत बरोवचो. 27^{2} चें वर्गमूळ घेवचें.

$$\frac{\frac{279}{125000000000000000000000}}{\frac{27\sqrt{167}}{\sqrt{5000000000000000000000000000000000000000000}}}$$

5000000000000000000000000000000000000000000=1000000000000000000000^{2}\times 5 गुणकपद काडचें. \sqrt{1000000000000000000000^{2}}\sqrt{5} च्या वर्ग मूळाचो गुणाकार म्हूण \sqrt{1000000000000000000000^{2}\times 5} च्या वर्गमूळाचो गुणाकार परत बरोवचो. 1000000000000000000000^{2} चें वर्गमूळ घेवचें.

$$\frac{\frac{279}{125000000000000000000000}}{\frac{27\sqrt{167}}{1000000000000000000000\sqrt{5}}}$$

न्युमरेटर आनी डिनोमिनेटर \sqrt{5} न गुणून \frac{27\sqrt{167}}{1000000000000000000000\sqrt{5}} चो डिनोमिनेटर रेशनलायझ तर्कसंगत करचो.

$$\frac{\frac{279}{125000000000000000000000}}{\frac{27\sqrt{167}\sqrt{5}}{1000000000000000000000\left(\sqrt{5}\right)^{2}}}$$

\sqrt{5} चो वर्ग 5 आसा.

$$\frac{\frac{279}{125000000000000000000000}}{\frac{27\sqrt{167}\sqrt{5}}{1000000000000000000000\times 5}}$$

\sqrt{167} आनी \sqrt{5} गुणूंक, वर्गमुळाच्या खाला संख्या गुणची.

$$\frac{\frac{279}{125000000000000000000000}}{\frac{27\sqrt{835}}{1000000000000000000000\times 5}}$$

5000000000000000000000 मेळोवंक 1000000000000000000000 आनी 5 गुणचें.

$$\frac{\frac{279}{125000000000000000000000}}{\frac{27\sqrt{835}}{5000000000000000000000}}$$

\frac{27\sqrt{835}}{5000000000000000000000} च्या पुरकाक \frac{279}{125000000000000000000000} गुणून \frac{27\sqrt{835}}{5000000000000000000000} न \frac{279}{125000000000000000000000} क भाग लावचो.

$$\frac{279\times 5000000000000000000000}{125000000000000000000000\times 27\sqrt{835}}$$

न्युमरेटर आनी डिनोमिनेटर अशा दोगांचेरूय 9\times 5000000000000000000000 रद्द करचो.

$$\frac{31}{3\times 25\sqrt{835}}$$

न्युमरेटर आनी डिनोमिनेटर \sqrt{835} न गुणून \frac{31}{3\times 25\sqrt{835}} चो डिनोमिनेटर रेशनलायझ तर्कसंगत करचो.

$$\frac{31\sqrt{835}}{3\times 25\left(\sqrt{835}\right)^{2}}$$

\sqrt{835} चो वर्ग 835 आसा.

$$\frac{31\sqrt{835}}{3\times 25\times 835}$$

75 मेळोवंक 3 आनी 25 गुणचें.

$$\frac{31\sqrt{835}}{75\times 835}$$

62625 मेळोवंक 75 आनी 835 गुणचें.

$$\frac{31\sqrt{835}}{62625}$$