सोडोवचें sqrt{2.92114*10^36/2.96*10^-19}

$$\sqrt{ \frac{ 2.92114 \times { 10 }^{ 36 } }{ 2.96 \times { 10 }^{ -19 } } }$$

मूल्यांकन करचें

$$\frac{50000000000000000000000000\sqrt{5404109}}{37}\approx 3.141451291 \cdot 10^{27}$$

सोडोवणी पांवडे

समान बेझीच्या पॉवरांक भाग लावंक, गणक निदर्शकांतल्यान भाजक निदर्शक वजा करचो.

$$\sqrt{\frac{2.92114\times 10^{55}}{2.96}}$$

10000000000000000000000000000000000000000000000000000000 मेळोवंक 55 चो 10 पॉवर मेजचो.

$$\sqrt{\frac{2.92114\times 10000000000000000000000000000000000000000000000000000000}{2.96}}$$

29211400000000000000000000000000000000000000000000000000 मेळोवंक 2.92114 आनी 10000000000000000000000000000000000000000000000000000000 गुणचें.

$$\sqrt{\frac{29211400000000000000000000000000000000000000000000000000}{2.96}}$$

100 न्युमरेटर आनी डिनोमिनेटर दोनूय गुणून \frac{29211400000000000000000000000000000000000000000000000000}{2.96} विस्तारीत करचो.

$$\sqrt{\frac{2921140000000000000000000000000000000000000000000000000000}{296}}$$

8 भायर काडून आनी रद्द करून एकदम उण्या संज्ञेत अपुर्णांक \frac{2921140000000000000000000000000000000000000000000000000000}{296} उणो करचो.

$$\sqrt{\frac{365142500000000000000000000000000000000000000000000000000}{37}}$$

\frac{\sqrt{365142500000000000000000000000000000000000000000000000000}}{\sqrt{37}} च्या वर्ग मूळाचो भागाकार म्हूण \sqrt{\frac{365142500000000000000000000000000000000000000000000000000}{37}} च्या वर्गमूळाचो भागाकार परत बरोवचो.

$$\frac{\sqrt{365142500000000000000000000000000000000000000000000000000}}{\sqrt{37}}$$

365142500000000000000000000000000000000000000000000000000=50000000000000000000000000^{2}\times 146057 गुणकपद काडचें. \sqrt{50000000000000000000000000^{2}}\sqrt{146057} च्या वर्ग मूळाचो गुणाकार म्हूण \sqrt{50000000000000000000000000^{2}\times 146057} च्या वर्गमूळाचो गुणाकार परत बरोवचो. 50000000000000000000000000^{2} चें वर्गमूळ घेवचें.

$$\frac{50000000000000000000000000\sqrt{146057}}{\sqrt{37}}$$

न्युमरेटर आनी डिनोमिनेटर \sqrt{37} न गुणून \frac{50000000000000000000000000\sqrt{146057}}{\sqrt{37}} चो डिनोमिनेटर रेशनलायझ तर्कसंगत करचो.

$$\frac{50000000000000000000000000\sqrt{146057}\sqrt{37}}{\left(\sqrt{37}\right)^{2}}$$

\sqrt{37} चो वर्ग 37 आसा.

$$\frac{50000000000000000000000000\sqrt{146057}\sqrt{37}}{37}$$

\sqrt{146057} आनी \sqrt{37} गुणूंक, वर्गमुळाच्या खाला संख्या गुणची.

$$\frac{50000000000000000000000000\sqrt{5404109}}{37}$$