सोडोवचें sqrt{{8/3-1/2-[(1+1/3)^2:4/3+frac{1}{5}]*frac{5}{46}+(2-frac{1}{4})}:frac{3}{5}}

$$\sqrt { \{ \frac { 8 } { 3 } - \frac { 1 } { 2 } - [ ( 1 + \frac { 1 } { 3 } ) ^ { 2 } : \frac { 4 } { 3 } + \frac { 1 } { 5 } ] \times \frac { 5 } { 46 } + ( 2 - \frac { 1 } { 4 } ) \} : \frac { 3 } { 5 } }$$

मूल्यांकन करचें

$$\frac{5}{2}=2.5$$

सोडोवणी पांवडे

\frac{13}{6} मेळोवंक \frac{8}{3} आनी \frac{1}{2} वजा करचे.

$$\sqrt{\frac{\frac{13}{6}-\left(\frac{\left(1+\frac{1}{3}\right)^{2}}{\frac{4}{3}}+\frac{1}{5}\right)\times \frac{5}{46}+2-\frac{1}{4}}{\frac{3}{5}}}$$

\frac{4}{3} मेळोवंक 1 आनी \frac{1}{3} ची बेरीज करची.

$$\sqrt{\frac{\frac{13}{6}-\left(\frac{\left(\frac{4}{3}\right)^{2}}{\frac{4}{3}}+\frac{1}{5}\right)\times \frac{5}{46}+2-\frac{1}{4}}{\frac{3}{5}}}$$

\frac{16}{9} मेळोवंक 2 चो \frac{4}{3} पॉवर मेजचो.

$$\sqrt{\frac{\frac{13}{6}-\left(\frac{\frac{16}{9}}{\frac{4}{3}}+\frac{1}{5}\right)\times \frac{5}{46}+2-\frac{1}{4}}{\frac{3}{5}}}$$

\frac{4}{3} च्या पुरकाक \frac{16}{9} गुणून \frac{4}{3} न \frac{16}{9} क भाग लावचो.

$$\sqrt{\frac{\frac{13}{6}-\left(\frac{16}{9}\times \frac{3}{4}+\frac{1}{5}\right)\times \frac{5}{46}+2-\frac{1}{4}}{\frac{3}{5}}}$$

\frac{4}{3} मेळोवंक \frac{16}{9} आनी \frac{3}{4} गुणचें.

$$\sqrt{\frac{\frac{13}{6}-\left(\frac{4}{3}+\frac{1}{5}\right)\times \frac{5}{46}+2-\frac{1}{4}}{\frac{3}{5}}}$$

\frac{23}{15} मेळोवंक \frac{4}{3} आनी \frac{1}{5} ची बेरीज करची.

$$\sqrt{\frac{\frac{13}{6}-\frac{23}{15}\times \frac{5}{46}+2-\frac{1}{4}}{\frac{3}{5}}}$$

\frac{1}{6} मेळोवंक \frac{23}{15} आनी \frac{5}{46} गुणचें.

$$\sqrt{\frac{\frac{13}{6}-\frac{1}{6}+2-\frac{1}{4}}{\frac{3}{5}}}$$

2 मेळोवंक \frac{13}{6} आनी \frac{1}{6} वजा करचे.

$$\sqrt{\frac{2+2-\frac{1}{4}}{\frac{3}{5}}}$$

4 मेळोवंक 2 आनी 2 ची बेरीज करची.

$$\sqrt{\frac{4-\frac{1}{4}}{\frac{3}{5}}}$$

\frac{15}{4} मेळोवंक 4 आनी \frac{1}{4} वजा करचे.

$$\sqrt{\frac{\frac{15}{4}}{\frac{3}{5}}}$$

\frac{3}{5} च्या पुरकाक \frac{15}{4} गुणून \frac{3}{5} न \frac{15}{4} क भाग लावचो.

$$\sqrt{\frac{15}{4}\times \frac{5}{3}}$$

\frac{25}{4} मेळोवंक \frac{15}{4} आनी \frac{5}{3} गुणचें.

$$\sqrt{\frac{25}{4}}$$

\frac{\sqrt{25}}{\sqrt{4}} च्या वर्ग मूळाचो भागाकार म्हूण \frac{25}{4} च्या वर्गमूळाचो भागाकार परत बरोवचो. न्युमरेटर आनी डिनोमिनेटर अशे दोगांचेय वर्ग मूळ घेवचे.

$$\frac{5}{2}$$

गुणकपद

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$