सोडोवचें sqrt{2*16*10^-19*500/91*10^31}

$$\sqrt{ \frac{ 2 \times 16 \times { 10 }^{ -19 } \times 500 }{ 91 \times { 10 }^{ 31 } } }$$

मूल्यांकन करचें

$$\frac{\sqrt{910}}{22750000000000000000000000}\approx 1.325987088 \cdot 10^{-24}$$

सोडोवणी पांवडे

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

$$\sqrt{\frac{2\times 16\times 500}{91\times 10^{50}}}$$

32 मेळोवंक 2 आनी 16 गुणचें.

$$\sqrt{\frac{32\times 500}{91\times 10^{50}}}$$

16000 मेळोवंक 32 आनी 500 गुणचें.

$$\sqrt{\frac{16000}{91\times 10^{50}}}$$

100000000000000000000000000000000000000000000000000 मेळोवंक 50 चो 10 पॉवर मेजचो.

$$\sqrt{\frac{16000}{91\times 100000000000000000000000000000000000000000000000000}}$$

9100000000000000000000000000000000000000000000000000 मेळोवंक 91 आनी 100000000000000000000000000000000000000000000000000 गुणचें.

$$\sqrt{\frac{16000}{9100000000000000000000000000000000000000000000000000}}$$

16000 भायर काडून आनी रद्द करून एकदम उण्या संज्ञेत अपुर्णांक \frac{16000}{9100000000000000000000000000000000000000000000000000} उणो करचो.

$$\sqrt{\frac{1}{568750000000000000000000000000000000000000000000}}$$

\frac{\sqrt{1}}{\sqrt{568750000000000000000000000000000000000000000000}} च्या वर्ग मूळाचो भागाकार म्हूण \sqrt{\frac{1}{568750000000000000000000000000000000000000000000}} च्या वर्गमूळाचो भागाकार परत बरोवचो.

$$\frac{\sqrt{1}}{\sqrt{568750000000000000000000000000000000000000000000}}$$

1 चें वर्गमूळ मेजचें आनी 1 मेळोवचें.

$$\frac{1}{\sqrt{568750000000000000000000000000000000000000000000}}$$

568750000000000000000000000000000000000000000000=25000000000000000000000^{2}\times 910 गुणकपद काडचें. \sqrt{25000000000000000000000^{2}}\sqrt{910} च्या वर्ग मूळाचो गुणाकार म्हूण \sqrt{25000000000000000000000^{2}\times 910} च्या वर्गमूळाचो गुणाकार परत बरोवचो. 25000000000000000000000^{2} चें वर्गमूळ घेवचें.

$$\frac{1}{25000000000000000000000\sqrt{910}}$$

न्युमरेटर आनी डिनोमिनेटर \sqrt{910} न गुणून \frac{1}{25000000000000000000000\sqrt{910}} चो डिनोमिनेटर रेशनलायझ तर्कसंगत करचो.

$$\frac{\sqrt{910}}{25000000000000000000000\left(\sqrt{910}\right)^{2}}$$

\sqrt{910} चो वर्ग 910 आसा.

$$\frac{\sqrt{910}}{25000000000000000000000\times 910}$$

22750000000000000000000000 मेळोवंक 25000000000000000000000 आनी 910 गुणचें.

$$\frac{\sqrt{910}}{22750000000000000000000000}$$