सोडोवचें sqrt{0.1(-31%)^2+0.3(-11%)^2+0.4(4%)^2+0.2(24%)^2}

$$\sqrt { 0.1 ( - 31 \% ) ^ { 2 } + 0.3 ( - 11 \% ) ^ { 2 } + 0.4 ( 4 \% ) ^ { 2 } + 0.2 ( 24 \% ) ^ { 2 } }$$

मूल्यांकन करचें

$$\frac{\sqrt{254}}{100}\approx 0.159373775$$

सोडोवणी पांवडे

\frac{961}{10000} मेळोवंक 2 चो -\frac{31}{100} पॉवर मेजचो.

$$\sqrt{0.1\times \frac{961}{10000}+0.3\left(-\frac{11}{100}\right)^{2}+0.4\times \left(\frac{4}{100}\right)^{2}+0.2\times \left(\frac{24}{100}\right)^{2}}$$

\frac{961}{100000} मेळोवंक 0.1 आनी \frac{961}{10000} गुणचें.

$$\sqrt{\frac{961}{100000}+0.3\left(-\frac{11}{100}\right)^{2}+0.4\times \left(\frac{4}{100}\right)^{2}+0.2\times \left(\frac{24}{100}\right)^{2}}$$

\frac{121}{10000} मेळोवंक 2 चो -\frac{11}{100} पॉवर मेजचो.

$$\sqrt{\frac{961}{100000}+0.3\times \frac{121}{10000}+0.4\times \left(\frac{4}{100}\right)^{2}+0.2\times \left(\frac{24}{100}\right)^{2}}$$

\frac{363}{100000} मेळोवंक 0.3 आनी \frac{121}{10000} गुणचें.

$$\sqrt{\frac{961}{100000}+\frac{363}{100000}+0.4\times \left(\frac{4}{100}\right)^{2}+0.2\times \left(\frac{24}{100}\right)^{2}}$$

\frac{331}{25000} मेळोवंक \frac{961}{100000} आनी \frac{363}{100000} ची बेरीज करची.

$$\sqrt{\frac{331}{25000}+0.4\times \left(\frac{4}{100}\right)^{2}+0.2\times \left(\frac{24}{100}\right)^{2}}$$

4 भायर काडून आनी रद्द करून एकदम उण्या संज्ञेत अपुर्णांक \frac{4}{100} उणो करचो.

$$\sqrt{\frac{331}{25000}+0.4\times \left(\frac{1}{25}\right)^{2}+0.2\times \left(\frac{24}{100}\right)^{2}}$$

\frac{1}{625} मेळोवंक 2 चो \frac{1}{25} पॉवर मेजचो.

$$\sqrt{\frac{331}{25000}+0.4\times \frac{1}{625}+0.2\times \left(\frac{24}{100}\right)^{2}}$$

\frac{2}{3125} मेळोवंक 0.4 आनी \frac{1}{625} गुणचें.

$$\sqrt{\frac{331}{25000}+\frac{2}{3125}+0.2\times \left(\frac{24}{100}\right)^{2}}$$

\frac{347}{25000} मेळोवंक \frac{331}{25000} आनी \frac{2}{3125} ची बेरीज करची.

$$\sqrt{\frac{347}{25000}+0.2\times \left(\frac{24}{100}\right)^{2}}$$

4 भायर काडून आनी रद्द करून एकदम उण्या संज्ञेत अपुर्णांक \frac{24}{100} उणो करचो.

$$\sqrt{\frac{347}{25000}+0.2\times \left(\frac{6}{25}\right)^{2}}$$

\frac{36}{625} मेळोवंक 2 चो \frac{6}{25} पॉवर मेजचो.

$$\sqrt{\frac{347}{25000}+0.2\times \frac{36}{625}}$$

\frac{36}{3125} मेळोवंक 0.2 आनी \frac{36}{625} गुणचें.

$$\sqrt{\frac{347}{25000}+\frac{36}{3125}}$$

\frac{127}{5000} मेळोवंक \frac{347}{25000} आनी \frac{36}{3125} ची बेरीज करची.

$$\sqrt{\frac{127}{5000}}$$

\frac{\sqrt{127}}{\sqrt{5000}} च्या वर्ग मूळाचो भागाकार म्हूण \sqrt{\frac{127}{5000}} च्या वर्गमूळाचो भागाकार परत बरोवचो.

$$\frac{\sqrt{127}}{\sqrt{5000}}$$

5000=50^{2}\times 2 गुणकपद काडचें. \sqrt{50^{2}}\sqrt{2} च्या वर्ग मूळाचो गुणाकार म्हूण \sqrt{50^{2}\times 2} च्या वर्गमूळाचो गुणाकार परत बरोवचो. 50^{2} चें वर्गमूळ घेवचें.

$$\frac{\sqrt{127}}{50\sqrt{2}}$$

न्युमरेटर आनी डिनोमिनेटर \sqrt{2} न गुणून \frac{\sqrt{127}}{50\sqrt{2}} चो डिनोमिनेटर रेशनलायझ तर्कसंगत करचो.

$$\frac{\sqrt{127}\sqrt{2}}{50\left(\sqrt{2}\right)^{2}}$$

\sqrt{2} चो वर्ग 2 आसा.

$$\frac{\sqrt{127}\sqrt{2}}{50\times 2}$$

\sqrt{127} आनी \sqrt{2} गुणूंक, वर्गमुळाच्या खाला संख्या गुणची.

$$\frac{\sqrt{254}}{50\times 2}$$

100 मेळोवंक 50 आनी 2 गुणचें.

$$\frac{\sqrt{254}}{100}$$