सोडोवचें sqrt{(11/4*8/11)^2:[(23/12-3/2):frac{5}{4}]^2}-sqrt{10+[(frac{1}{2})^2:frac{1}{2}+frac{12}{13}*(frac{5}{4}-frac{1}{6})]:frac{8}{3}}

$$\sqrt { ( \frac { 11 } { 4 } \times \frac { 8 } { 11 } ) ^ { 2 } : [ ( \frac { 23 } { 12 } - \frac { 3 } { 2 } ) : \frac { 5 } { 4 } ] ^ { 2 } } - \sqrt { 10 + [ ( \frac { 1 } { 2 } ) ^ { 2 } : \frac { 1 } { 2 } + \frac { 12 } { 13 } \times ( \frac { 5 } { 4 } - \frac { 1 } { 6 } ) ] : \frac { 8 } { 3 } }$$

मूल्यांकन करचें

$$\frac{11}{4}=2.75$$

सोडोवणी पांवडे

समान बेझीच्या पॉवरांक भाग लावंक, गणक निदर्शकांतल्यान भाजक निदर्शक वजा करचो. 1 मेळोवंक 2 तल्यान 1 वजा करचो.

$$\sqrt{\frac{\left(\frac{11}{4}\times \frac{8}{11}\right)^{2}}{\left(\frac{\frac{23}{12}-\frac{3}{2}}{\frac{5}{4}}\right)^{2}}}-\sqrt{10+\frac{\left(\frac{1}{2}\right)^{1}+\frac{12}{13}\left(\frac{5}{4}-\frac{1}{6}\right)}{\frac{8}{3}}}$$

2 मेळोवंक \frac{11}{4} आनी \frac{8}{11} गुणचें.

$$\sqrt{\frac{2^{2}}{\left(\frac{\frac{23}{12}-\frac{3}{2}}{\frac{5}{4}}\right)^{2}}}-\sqrt{10+\frac{\left(\frac{1}{2}\right)^{1}+\frac{12}{13}\left(\frac{5}{4}-\frac{1}{6}\right)}{\frac{8}{3}}}$$

4 मेळोवंक 2 चो 2 पॉवर मेजचो.

$$\sqrt{\frac{4}{\left(\frac{\frac{23}{12}-\frac{3}{2}}{\frac{5}{4}}\right)^{2}}}-\sqrt{10+\frac{\left(\frac{1}{2}\right)^{1}+\frac{12}{13}\left(\frac{5}{4}-\frac{1}{6}\right)}{\frac{8}{3}}}$$

\frac{5}{12} मेळोवंक \frac{23}{12} आनी \frac{3}{2} वजा करचे.

$$\sqrt{\frac{4}{\left(\frac{\frac{5}{12}}{\frac{5}{4}}\right)^{2}}}-\sqrt{10+\frac{\left(\frac{1}{2}\right)^{1}+\frac{12}{13}\left(\frac{5}{4}-\frac{1}{6}\right)}{\frac{8}{3}}}$$

\frac{5}{4} च्या पुरकाक \frac{5}{12} गुणून \frac{5}{4} न \frac{5}{12} क भाग लावचो.

$$\sqrt{\frac{4}{\left(\frac{5}{12}\times \frac{4}{5}\right)^{2}}}-\sqrt{10+\frac{\left(\frac{1}{2}\right)^{1}+\frac{12}{13}\left(\frac{5}{4}-\frac{1}{6}\right)}{\frac{8}{3}}}$$

\frac{1}{3} मेळोवंक \frac{5}{12} आनी \frac{4}{5} गुणचें.

$$\sqrt{\frac{4}{\left(\frac{1}{3}\right)^{2}}}-\sqrt{10+\frac{\left(\frac{1}{2}\right)^{1}+\frac{12}{13}\left(\frac{5}{4}-\frac{1}{6}\right)}{\frac{8}{3}}}$$

\frac{1}{9} मेळोवंक 2 चो \frac{1}{3} पॉवर मेजचो.

$$\sqrt{\frac{4}{\frac{1}{9}}}-\sqrt{10+\frac{\left(\frac{1}{2}\right)^{1}+\frac{12}{13}\left(\frac{5}{4}-\frac{1}{6}\right)}{\frac{8}{3}}}$$

\frac{1}{9} च्या पुरकाक 4 गुणून \frac{1}{9} न 4 क भाग लावचो.

$$\sqrt{4\times 9}-\sqrt{10+\frac{\left(\frac{1}{2}\right)^{1}+\frac{12}{13}\left(\frac{5}{4}-\frac{1}{6}\right)}{\frac{8}{3}}}$$

36 मेळोवंक 4 आनी 9 गुणचें.

$$\sqrt{36}-\sqrt{10+\frac{\left(\frac{1}{2}\right)^{1}+\frac{12}{13}\left(\frac{5}{4}-\frac{1}{6}\right)}{\frac{8}{3}}}$$

36 चें वर्गमूळ मेजचें आनी 6 मेळोवचें.

$$6-\sqrt{10+\frac{\left(\frac{1}{2}\right)^{1}+\frac{12}{13}\left(\frac{5}{4}-\frac{1}{6}\right)}{\frac{8}{3}}}$$

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

$$6-\sqrt{10+\frac{\frac{1}{2}+\frac{12}{13}\left(\frac{5}{4}-\frac{1}{6}\right)}{\frac{8}{3}}}$$

\frac{13}{12} मेळोवंक \frac{5}{4} आनी \frac{1}{6} वजा करचे.

$$6-\sqrt{10+\frac{\frac{1}{2}+\frac{12}{13}\times \frac{13}{12}}{\frac{8}{3}}}$$

1 मेळोवंक \frac{12}{13} आनी \frac{13}{12} गुणचें.

$$6-\sqrt{10+\frac{\frac{1}{2}+1}{\frac{8}{3}}}$$

\frac{3}{2} मेळोवंक \frac{1}{2} आनी 1 ची बेरीज करची.

$$6-\sqrt{10+\frac{\frac{3}{2}}{\frac{8}{3}}}$$

\frac{8}{3} च्या पुरकाक \frac{3}{2} गुणून \frac{8}{3} न \frac{3}{2} क भाग लावचो.

$$6-\sqrt{10+\frac{3}{2}\times \frac{3}{8}}$$

\frac{9}{16} मेळोवंक \frac{3}{2} आनी \frac{3}{8} गुणचें.

$$6-\sqrt{10+\frac{9}{16}}$$

\frac{169}{16} मेळोवंक 10 आनी \frac{9}{16} ची बेरीज करची.

$$6-\sqrt{\frac{169}{16}}$$

\frac{\sqrt{169}}{\sqrt{16}} च्या वर्ग मूळाचो भागाकार म्हूण \frac{169}{16} च्या वर्गमूळाचो भागाकार परत बरोवचो. न्युमरेटर आनी डिनोमिनेटर अशे दोगांचेय वर्ग मूळ घेवचे.

$$6-\frac{13}{4}$$

\frac{11}{4} मेळोवंक 6 आनी \frac{13}{4} वजा करचे.

$$\frac{11}{4}$$

गुणकपद

$$\frac{11}{2 ^ {2}} = 2\frac{3}{4} = 2.75$$