सोडोवचें sqrt{frac{left(396-3998right)^2+left(398-3998right)^2+left(395-3998right)^2+left(403-3998right)^2+{left(399-3998right)}^{2}+{left(403-3998right)}^{2}+{left(402-3998right)}^2+{left(399-3998right)}^2+{left(404-3998right)}^2+{left(399+3998right)}^2}{90}}

$$\sqrt{ \frac{ { \left(396-3998 \right) }^{ 2 } + { \left(398-3998 \right) }^{ 2 } + { \left(395-3998 \right) }^{ 2 } + { \left(403-3998 \right) }^{ 2 } + { \left(399-3998 \right) }^{ 2 } + { \left(403-3998 \right) }^{ 2 } + { \left(402-3998 \right) }^{ 2 } + { \left(399-3998 \right) }^{ 2 } + { \left(404-3998 \right) }^{ 2 } + { \left(399+3998 \right) }^{ 2 } }{ 90 } }$$

मूल्यांकन करचें

$$\frac{13\sqrt{2009635}}{15}\approx 1228.600495596$$

सोडोवणी पांवडे

-3602 मेळोवंक 396 आनी 3998 वजा करचे.

$$\sqrt{\frac{\left(-3602\right)^{2}+\left(398-3998\right)^{2}+\left(395-3998\right)^{2}+\left(403-3998\right)^{2}+\left(399-3998\right)^{2}+\left(403-3998\right)^{2}+\left(402-3998\right)^{2}+\left(399-3998\right)^{2}+\left(404-3998\right)^{2}+\left(399+3998\right)^{2}}{90}}$$

12974404 मेळोवंक 2 चो -3602 पॉवर मेजचो.

$$\sqrt{\frac{12974404+\left(398-3998\right)^{2}+\left(395-3998\right)^{2}+\left(403-3998\right)^{2}+\left(399-3998\right)^{2}+\left(403-3998\right)^{2}+\left(402-3998\right)^{2}+\left(399-3998\right)^{2}+\left(404-3998\right)^{2}+\left(399+3998\right)^{2}}{90}}$$

-3600 मेळोवंक 398 आनी 3998 वजा करचे.

$$\sqrt{\frac{12974404+\left(-3600\right)^{2}+\left(395-3998\right)^{2}+\left(403-3998\right)^{2}+\left(399-3998\right)^{2}+\left(403-3998\right)^{2}+\left(402-3998\right)^{2}+\left(399-3998\right)^{2}+\left(404-3998\right)^{2}+\left(399+3998\right)^{2}}{90}}$$

12960000 मेळोवंक 2 चो -3600 पॉवर मेजचो.

$$\sqrt{\frac{12974404+12960000+\left(395-3998\right)^{2}+\left(403-3998\right)^{2}+\left(399-3998\right)^{2}+\left(403-3998\right)^{2}+\left(402-3998\right)^{2}+\left(399-3998\right)^{2}+\left(404-3998\right)^{2}+\left(399+3998\right)^{2}}{90}}$$

25934404 मेळोवंक 12974404 आनी 12960000 ची बेरीज करची.

$$\sqrt{\frac{25934404+\left(395-3998\right)^{2}+\left(403-3998\right)^{2}+\left(399-3998\right)^{2}+\left(403-3998\right)^{2}+\left(402-3998\right)^{2}+\left(399-3998\right)^{2}+\left(404-3998\right)^{2}+\left(399+3998\right)^{2}}{90}}$$

-3603 मेळोवंक 395 आनी 3998 वजा करचे.

$$\sqrt{\frac{25934404+\left(-3603\right)^{2}+\left(403-3998\right)^{2}+\left(399-3998\right)^{2}+\left(403-3998\right)^{2}+\left(402-3998\right)^{2}+\left(399-3998\right)^{2}+\left(404-3998\right)^{2}+\left(399+3998\right)^{2}}{90}}$$

12981609 मेळोवंक 2 चो -3603 पॉवर मेजचो.

$$\sqrt{\frac{25934404+12981609+\left(403-3998\right)^{2}+\left(399-3998\right)^{2}+\left(403-3998\right)^{2}+\left(402-3998\right)^{2}+\left(399-3998\right)^{2}+\left(404-3998\right)^{2}+\left(399+3998\right)^{2}}{90}}$$

38916013 मेळोवंक 25934404 आनी 12981609 ची बेरीज करची.

$$\sqrt{\frac{38916013+\left(403-3998\right)^{2}+\left(399-3998\right)^{2}+\left(403-3998\right)^{2}+\left(402-3998\right)^{2}+\left(399-3998\right)^{2}+\left(404-3998\right)^{2}+\left(399+3998\right)^{2}}{90}}$$

-3595 मेळोवंक 403 आनी 3998 वजा करचे.

$$\sqrt{\frac{38916013+\left(-3595\right)^{2}+\left(399-3998\right)^{2}+\left(403-3998\right)^{2}+\left(402-3998\right)^{2}+\left(399-3998\right)^{2}+\left(404-3998\right)^{2}+\left(399+3998\right)^{2}}{90}}$$

12924025 मेळोवंक 2 चो -3595 पॉवर मेजचो.

$$\sqrt{\frac{38916013+12924025+\left(399-3998\right)^{2}+\left(403-3998\right)^{2}+\left(402-3998\right)^{2}+\left(399-3998\right)^{2}+\left(404-3998\right)^{2}+\left(399+3998\right)^{2}}{90}}$$

51840038 मेळोवंक 38916013 आनी 12924025 ची बेरीज करची.

$$\sqrt{\frac{51840038+\left(399-3998\right)^{2}+\left(403-3998\right)^{2}+\left(402-3998\right)^{2}+\left(399-3998\right)^{2}+\left(404-3998\right)^{2}+\left(399+3998\right)^{2}}{90}}$$

-3599 मेळोवंक 399 आनी 3998 वजा करचे.

$$\sqrt{\frac{51840038+\left(-3599\right)^{2}+\left(403-3998\right)^{2}+\left(402-3998\right)^{2}+\left(399-3998\right)^{2}+\left(404-3998\right)^{2}+\left(399+3998\right)^{2}}{90}}$$

12952801 मेळोवंक 2 चो -3599 पॉवर मेजचो.

$$\sqrt{\frac{51840038+12952801+\left(403-3998\right)^{2}+\left(402-3998\right)^{2}+\left(399-3998\right)^{2}+\left(404-3998\right)^{2}+\left(399+3998\right)^{2}}{90}}$$

64792839 मेळोवंक 51840038 आनी 12952801 ची बेरीज करची.

$$\sqrt{\frac{64792839+\left(403-3998\right)^{2}+\left(402-3998\right)^{2}+\left(399-3998\right)^{2}+\left(404-3998\right)^{2}+\left(399+3998\right)^{2}}{90}}$$

-3595 मेळोवंक 403 आनी 3998 वजा करचे.

$$\sqrt{\frac{64792839+\left(-3595\right)^{2}+\left(402-3998\right)^{2}+\left(399-3998\right)^{2}+\left(404-3998\right)^{2}+\left(399+3998\right)^{2}}{90}}$$

12924025 मेळोवंक 2 चो -3595 पॉवर मेजचो.

$$\sqrt{\frac{64792839+12924025+\left(402-3998\right)^{2}+\left(399-3998\right)^{2}+\left(404-3998\right)^{2}+\left(399+3998\right)^{2}}{90}}$$

77716864 मेळोवंक 64792839 आनी 12924025 ची बेरीज करची.

$$\sqrt{\frac{77716864+\left(402-3998\right)^{2}+\left(399-3998\right)^{2}+\left(404-3998\right)^{2}+\left(399+3998\right)^{2}}{90}}$$

-3596 मेळोवंक 402 आनी 3998 वजा करचे.

$$\sqrt{\frac{77716864+\left(-3596\right)^{2}+\left(399-3998\right)^{2}+\left(404-3998\right)^{2}+\left(399+3998\right)^{2}}{90}}$$

12931216 मेळोवंक 2 चो -3596 पॉवर मेजचो.

$$\sqrt{\frac{77716864+12931216+\left(399-3998\right)^{2}+\left(404-3998\right)^{2}+\left(399+3998\right)^{2}}{90}}$$

90648080 मेळोवंक 77716864 आनी 12931216 ची बेरीज करची.

$$\sqrt{\frac{90648080+\left(399-3998\right)^{2}+\left(404-3998\right)^{2}+\left(399+3998\right)^{2}}{90}}$$

-3599 मेळोवंक 399 आनी 3998 वजा करचे.

$$\sqrt{\frac{90648080+\left(-3599\right)^{2}+\left(404-3998\right)^{2}+\left(399+3998\right)^{2}}{90}}$$

12952801 मेळोवंक 2 चो -3599 पॉवर मेजचो.

$$\sqrt{\frac{90648080+12952801+\left(404-3998\right)^{2}+\left(399+3998\right)^{2}}{90}}$$

103600881 मेळोवंक 90648080 आनी 12952801 ची बेरीज करची.

$$\sqrt{\frac{103600881+\left(404-3998\right)^{2}+\left(399+3998\right)^{2}}{90}}$$

-3594 मेळोवंक 404 आनी 3998 वजा करचे.

$$\sqrt{\frac{103600881+\left(-3594\right)^{2}+\left(399+3998\right)^{2}}{90}}$$

12916836 मेळोवंक 2 चो -3594 पॉवर मेजचो.

$$\sqrt{\frac{103600881+12916836+\left(399+3998\right)^{2}}{90}}$$

116517717 मेळोवंक 103600881 आनी 12916836 ची बेरीज करची.

$$\sqrt{\frac{116517717+\left(399+3998\right)^{2}}{90}}$$

4397 मेळोवंक 399 आनी 3998 ची बेरीज करची.

$$\sqrt{\frac{116517717+4397^{2}}{90}}$$

19333609 मेळोवंक 2 चो 4397 पॉवर मेजचो.

$$\sqrt{\frac{116517717+19333609}{90}}$$

135851326 मेळोवंक 116517717 आनी 19333609 ची बेरीज करची.

$$\sqrt{\frac{135851326}{90}}$$

2 भायर काडून आनी रद्द करून एकदम उण्या संज्ञेत अपुर्णांक \frac{135851326}{90} उणो करचो.

$$\sqrt{\frac{67925663}{45}}$$

\frac{\sqrt{67925663}}{\sqrt{45}} च्या वर्ग मूळाचो भागाकार म्हूण \sqrt{\frac{67925663}{45}} च्या वर्गमूळाचो भागाकार परत बरोवचो.

$$\frac{\sqrt{67925663}}{\sqrt{45}}$$

67925663=13^{2}\times 401927 गुणकपद काडचें. \sqrt{13^{2}}\sqrt{401927} च्या वर्ग मूळाचो गुणाकार म्हूण \sqrt{13^{2}\times 401927} च्या वर्गमूळाचो गुणाकार परत बरोवचो. 13^{2} चें वर्गमूळ घेवचें.

$$\frac{13\sqrt{401927}}{\sqrt{45}}$$

45=3^{2}\times 5 गुणकपद काडचें. \sqrt{3^{2}}\sqrt{5} च्या वर्ग मूळाचो गुणाकार म्हूण \sqrt{3^{2}\times 5} च्या वर्गमूळाचो गुणाकार परत बरोवचो. 3^{2} चें वर्गमूळ घेवचें.

$$\frac{13\sqrt{401927}}{3\sqrt{5}}$$

न्युमरेटर आनी डिनोमिनेटर \sqrt{5} न गुणून \frac{13\sqrt{401927}}{3\sqrt{5}} चो डिनोमिनेटर रेशनलायझ तर्कसंगत करचो.

$$\frac{13\sqrt{401927}\sqrt{5}}{3\left(\sqrt{5}\right)^{2}}$$

\sqrt{5} चो वर्ग 5 आसा.

$$\frac{13\sqrt{401927}\sqrt{5}}{3\times 5}$$

\sqrt{401927} आनी \sqrt{5} गुणूंक, वर्गमुळाच्या खाला संख्या गुणची.

$$\frac{13\sqrt{2009635}}{3\times 5}$$

15 मेळोवंक 3 आनी 5 गुणचें.

$$\frac{13\sqrt{2009635}}{15}$$