सोडोवचें sqrt{{3/2*3/10+[9/5-frac{3/5*(2-frac{1}{3})^2]*frac{3}{2}}:(frac{3}{5}+2)}{frac{2}{3}*[frac{1}{6}+frac{2}{13}*(frac{1}{4}+3)]}}

$$\sqrt { \frac { \{ \frac { 3 } { 2 } \times \frac { 3 } { 10 } + [ \frac { 9 } { 5 } - \frac { 3 } { 5 } \times ( 2 - \frac { 1 } { 3 } ) ^ { 2 } ] \times \frac { 3 } { 2 } \} : ( \frac { 3 } { 5 } + 2 ) } { \frac { 2 } { 3 } \times [ \frac { 1 } { 6 } + \frac { 2 } { 13 } \times ( \frac { 1 } { 4 } + 3 ) ] } }$$

मूल्यांकन करचें

$$\frac{3}{4}=0.75$$

सोडोवणी पांवडे

\frac{9}{20} मेळोवंक \frac{3}{2} आनी \frac{3}{10} गुणचें.

$$\sqrt{\frac{\frac{\frac{9}{20}+\left(\frac{9}{5}-\frac{3}{5}\left(2-\frac{1}{3}\right)^{2}\right)\times \frac{3}{2}}{\frac{3}{5}+2}}{\frac{2}{3}\left(\frac{1}{6}+\frac{2}{13}\left(\frac{1}{4}+3\right)\right)}}$$

\frac{5}{3} मेळोवंक 2 आनी \frac{1}{3} वजा करचे.

$$\sqrt{\frac{\frac{\frac{9}{20}+\left(\frac{9}{5}-\frac{3}{5}\times \left(\frac{5}{3}\right)^{2}\right)\times \frac{3}{2}}{\frac{3}{5}+2}}{\frac{2}{3}\left(\frac{1}{6}+\frac{2}{13}\left(\frac{1}{4}+3\right)\right)}}$$

\frac{25}{9} मेळोवंक 2 चो \frac{5}{3} पॉवर मेजचो.

$$\sqrt{\frac{\frac{\frac{9}{20}+\left(\frac{9}{5}-\frac{3}{5}\times \frac{25}{9}\right)\times \frac{3}{2}}{\frac{3}{5}+2}}{\frac{2}{3}\left(\frac{1}{6}+\frac{2}{13}\left(\frac{1}{4}+3\right)\right)}}$$

\frac{5}{3} मेळोवंक \frac{3}{5} आनी \frac{25}{9} गुणचें.

$$\sqrt{\frac{\frac{\frac{9}{20}+\left(\frac{9}{5}-\frac{5}{3}\right)\times \frac{3}{2}}{\frac{3}{5}+2}}{\frac{2}{3}\left(\frac{1}{6}+\frac{2}{13}\left(\frac{1}{4}+3\right)\right)}}$$

\frac{2}{15} मेळोवंक \frac{9}{5} आनी \frac{5}{3} वजा करचे.

$$\sqrt{\frac{\frac{\frac{9}{20}+\frac{2}{15}\times \frac{3}{2}}{\frac{3}{5}+2}}{\frac{2}{3}\left(\frac{1}{6}+\frac{2}{13}\left(\frac{1}{4}+3\right)\right)}}$$

\frac{1}{5} मेळोवंक \frac{2}{15} आनी \frac{3}{2} गुणचें.

$$\sqrt{\frac{\frac{\frac{9}{20}+\frac{1}{5}}{\frac{3}{5}+2}}{\frac{2}{3}\left(\frac{1}{6}+\frac{2}{13}\left(\frac{1}{4}+3\right)\right)}}$$

\frac{13}{20} मेळोवंक \frac{9}{20} आनी \frac{1}{5} ची बेरीज करची.

$$\sqrt{\frac{\frac{\frac{13}{20}}{\frac{3}{5}+2}}{\frac{2}{3}\left(\frac{1}{6}+\frac{2}{13}\left(\frac{1}{4}+3\right)\right)}}$$

\frac{13}{5} मेळोवंक \frac{3}{5} आनी 2 ची बेरीज करची.

$$\sqrt{\frac{\frac{\frac{13}{20}}{\frac{13}{5}}}{\frac{2}{3}\left(\frac{1}{6}+\frac{2}{13}\left(\frac{1}{4}+3\right)\right)}}$$

\frac{13}{5} च्या पुरकाक \frac{13}{20} गुणून \frac{13}{5} न \frac{13}{20} क भाग लावचो.

$$\sqrt{\frac{\frac{13}{20}\times \frac{5}{13}}{\frac{2}{3}\left(\frac{1}{6}+\frac{2}{13}\left(\frac{1}{4}+3\right)\right)}}$$

\frac{1}{4} मेळोवंक \frac{13}{20} आनी \frac{5}{13} गुणचें.

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

\frac{13}{4} मेळोवंक \frac{1}{4} आनी 3 ची बेरीज करची.

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

\frac{1}{2} मेळोवंक \frac{2}{13} आनी \frac{13}{4} गुणचें.

$$\sqrt{\frac{\frac{1}{4}}{\frac{2}{3}\left(\frac{1}{6}+\frac{1}{2}\right)}}$$

\frac{2}{3} मेळोवंक \frac{1}{6} आनी \frac{1}{2} ची बेरीज करची.

$$\sqrt{\frac{\frac{1}{4}}{\frac{2}{3}\times \frac{2}{3}}}$$

\frac{4}{9} मेळोवंक \frac{2}{3} आनी \frac{2}{3} गुणचें.

$$\sqrt{\frac{\frac{1}{4}}{\frac{4}{9}}}$$

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

$$\sqrt{\frac{1}{4}\times \frac{9}{4}}$$

\frac{9}{16} मेळोवंक \frac{1}{4} आनी \frac{9}{4} गुणचें.

$$\sqrt{\frac{9}{16}}$$

\frac{\sqrt{9}}{\sqrt{16}} च्या वर्ग मूळाचो भागाकार म्हूण \frac{9}{16} च्या वर्गमूळाचो भागाकार परत बरोवचो. न्युमरेटर आनी डिनोमिनेटर अशे दोगांचेय वर्ग मूळ घेवचे.

$$\frac{3}{4}$$

गुणकपद

$$\frac{3}{2 ^ {2}} = 0.75$$