सोडोवचें 2*250/0.05^2*(1,26*10^-6*frac{8*1,58{sqrt{125}*0.2})^2}

$$\frac { 2 \cdot 250 } { 0.05 ^ { 2 } \cdot ( 1,26 \cdot 10 ^ { - 6 } \cdot \frac { 8 \cdot 1,58 } { \sqrt { 125 } \cdot 0.2 } ) ^ { 2 } }$$

मूल्यांकन करचें

$$\frac{97656250000000000000000}{24770529}\approx 3.942436998 \cdot 10^{15}$$

सोडोवणी पांवडे

500 मेळोवंक 2 आनी 250 गुणचें.

$$\frac{500}{0.05^{2}\times \left(1.26\times 10^{-6}\times \frac{8\times 1.58}{0.2\sqrt{125}}\right)^{2}}$$

0.0025 मेळोवंक 2 चो 0.05 पॉवर मेजचो.

$$\frac{500}{0.0025\times \left(1.26\times 10^{-6}\times \frac{8\times 1.58}{0.2\sqrt{125}}\right)^{2}}$$

\frac{1}{1000000} मेळोवंक -6 चो 10 पॉवर मेजचो.

$$\frac{500}{0.0025\times \left(1.26\times \frac{1}{1000000}\times \frac{8\times 1.58}{0.2\sqrt{125}}\right)^{2}}$$

\frac{63}{50000000} मेळोवंक 1.26 आनी \frac{1}{1000000} गुणचें.

$$\frac{500}{0.0025\times \left(\frac{63}{50000000}\times \frac{8\times 1.58}{0.2\sqrt{125}}\right)^{2}}$$

12.64 मेळोवंक 8 आनी 1.58 गुणचें.

$$\frac{500}{0.0025\times \left(\frac{63}{50000000}\times \frac{12.64}{0.2\sqrt{125}}\right)^{2}}$$

125=5^{2}\times 5 गुणकपद काडचें. \sqrt{5^{2}}\sqrt{5} च्या वर्ग मूळाचो गुणाकार म्हूण \sqrt{5^{2}\times 5} च्या वर्गमूळाचो गुणाकार परत बरोवचो. 5^{2} चें वर्गमूळ घेवचें.

$$\frac{500}{0.0025\times \left(\frac{63}{50000000}\times \frac{12.64}{0.2\times 5\sqrt{5}}\right)^{2}}$$

1 मेळोवंक 0.2 आनी 5 गुणचें.

$$\frac{500}{0.0025\times \left(\frac{63}{50000000}\times \frac{12.64}{\sqrt{5}}\right)^{2}}$$

न्युमरेटर आनी डिनोमिनेटर \sqrt{5} न गुणून \frac{12.64}{\sqrt{5}} चो डिनोमिनेटर रेशनलायझ तर्कसंगत करचो.

$$\frac{500}{0.0025\times \left(\frac{63}{50000000}\times \frac{12.64\sqrt{5}}{\left(\sqrt{5}\right)^{2}}\right)^{2}}$$

\sqrt{5} चो वर्ग 5 आसा.

$$\frac{500}{0.0025\times \left(\frac{63}{50000000}\times \frac{12.64\sqrt{5}}{5}\right)^{2}}$$

2.528\sqrt{5} मेळोवंक 12.64\sqrt{5} क 5 न भाग लावचो.

$$\frac{500}{0.0025\times \left(\frac{63}{50000000}\times 2.528\sqrt{5}\right)^{2}}$$

\frac{4977}{1562500000} मेळोवंक \frac{63}{50000000} आनी 2.528 गुणचें.

$$\frac{500}{0.0025\times \left(\frac{4977}{1562500000}\sqrt{5}\right)^{2}}$$

\left(\frac{4977}{1562500000}\sqrt{5}\right)^{2} विस्तारीत करचो.

$$\frac{500}{0.0025\times \left(\frac{4977}{1562500000}\right)^{2}\left(\sqrt{5}\right)^{2}}$$

\frac{24770529}{2441406250000000000} मेळोवंक 2 चो \frac{4977}{1562500000} पॉवर मेजचो.

$$\frac{500}{0.0025\times \frac{24770529}{2441406250000000000}\left(\sqrt{5}\right)^{2}}$$

\sqrt{5} चो वर्ग 5 आसा.

$$\frac{500}{0.0025\times \frac{24770529}{2441406250000000000}\times 5}$$

\frac{24770529}{488281250000000000} मेळोवंक \frac{24770529}{2441406250000000000} आनी 5 गुणचें.

$$\frac{500}{0.0025\times \frac{24770529}{488281250000000000}}$$

\frac{24770529}{195312500000000000000} मेळोवंक 0.0025 आनी \frac{24770529}{488281250000000000} गुणचें.

$$\frac{500}{\frac{24770529}{195312500000000000000}}$$

\frac{24770529}{195312500000000000000} च्या पुरकाक 500 गुणून \frac{24770529}{195312500000000000000} न 500 क भाग लावचो.

$$500\times \frac{195312500000000000000}{24770529}$$

\frac{97656250000000000000000}{24770529} मेळोवंक 500 आनी \frac{195312500000000000000}{24770529} गुणचें.

$$\frac{97656250000000000000000}{24770529}$$

गुणकपद

$$\frac{2 ^ {16} \cdot 5 ^ {26}}{3 ^ {4} \cdot 7 ^ {2} \cdot 79 ^ {2}} = 3942436998418564\frac{10952700}{24770529} = 3942436998418564.5$$