सोडोवचें [-1+3/2-(-3/4-(-1-1/6))]sqrt{2-frac{7/4}}{(-frac{5}{3})^-1+frac{1}{2}-(-2)^-2}

$$\frac { [ - 1 + \frac { 3 } { 2 } - ( - \frac { 3 } { 4 } - ( - 1 - \frac { 1 } { 6 } ) ) ] \sqrt { 2 - \frac { 7 } { 4 } } } { ( - \frac { 5 } { 3 } ) ^ { - 1 } + \frac { 1 } { 2 } - ( - 2 ) ^ { - 2 } }$$

मूल्यांकन करचें

$$-\frac{5}{42}\approx -0.119047619$$

सोडोवणी पांवडे

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

$$\frac{\left(\frac{1}{2}-\left(-\frac{3}{4}-\left(-1-\frac{1}{6}\right)\right)\right)\sqrt{2-\frac{7}{4}}}{\left(-\frac{5}{3}\right)^{-1}+\frac{1}{2}-\left(-2\right)^{-2}}$$

-\frac{7}{6} मेळोवंक -1 आनी \frac{1}{6} वजा करचे.

$$\frac{\left(\frac{1}{2}-\left(-\frac{3}{4}-\left(-\frac{7}{6}\right)\right)\right)\sqrt{2-\frac{7}{4}}}{\left(-\frac{5}{3}\right)^{-1}+\frac{1}{2}-\left(-2\right)^{-2}}$$

-\frac{7}{6} च्या विरुध्दार्थी अंक \frac{7}{6} आसा.

$$\frac{\left(\frac{1}{2}-\left(-\frac{3}{4}+\frac{7}{6}\right)\right)\sqrt{2-\frac{7}{4}}}{\left(-\frac{5}{3}\right)^{-1}+\frac{1}{2}-\left(-2\right)^{-2}}$$

\frac{5}{12} मेळोवंक -\frac{3}{4} आनी \frac{7}{6} ची बेरीज करची.

$$\frac{\left(\frac{1}{2}-\frac{5}{12}\right)\sqrt{2-\frac{7}{4}}}{\left(-\frac{5}{3}\right)^{-1}+\frac{1}{2}-\left(-2\right)^{-2}}$$

\frac{1}{12} मेळोवंक \frac{1}{2} आनी \frac{5}{12} वजा करचे.

$$\frac{\frac{1}{12}\sqrt{2-\frac{7}{4}}}{\left(-\frac{5}{3}\right)^{-1}+\frac{1}{2}-\left(-2\right)^{-2}}$$

\frac{1}{4} मेळोवंक 2 आनी \frac{7}{4} वजा करचे.

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

\frac{\sqrt{1}}{\sqrt{4}} च्या वर्ग मूळाचो भागाकार म्हूण \frac{1}{4} च्या वर्गमूळाचो भागाकार परत बरोवचो. न्युमरेटर आनी डिनोमिनेटर अशे दोगांचेय वर्ग मूळ घेवचे.

$$\frac{\frac{1}{12}\times \frac{1}{2}}{\left(-\frac{5}{3}\right)^{-1}+\frac{1}{2}-\left(-2\right)^{-2}}$$

\frac{1}{24} मेळोवंक \frac{1}{12} आनी \frac{1}{2} गुणचें.

$$\frac{\frac{1}{24}}{\left(-\frac{5}{3}\right)^{-1}+\frac{1}{2}-\left(-2\right)^{-2}}$$

-\frac{3}{5} मेळोवंक -1 चो -\frac{5}{3} पॉवर मेजचो.

$$\frac{\frac{1}{24}}{-\frac{3}{5}+\frac{1}{2}-\left(-2\right)^{-2}}$$

-\frac{1}{10} मेळोवंक -\frac{3}{5} आनी \frac{1}{2} ची बेरीज करची.

$$\frac{\frac{1}{24}}{-\frac{1}{10}-\left(-2\right)^{-2}}$$

\frac{1}{4} मेळोवंक -2 चो -2 पॉवर मेजचो.

$$\frac{\frac{1}{24}}{-\frac{1}{10}-\frac{1}{4}}$$

-\frac{7}{20} मेळोवंक -\frac{1}{10} आनी \frac{1}{4} वजा करचे.

$$\frac{\frac{1}{24}}{-\frac{7}{20}}$$

-\frac{7}{20} च्या पुरकाक \frac{1}{24} गुणून -\frac{7}{20} न \frac{1}{24} क भाग लावचो.

$$\frac{1}{24}\left(-\frac{20}{7}\right)$$

-\frac{5}{42} मेळोवंक \frac{1}{24} आनी -\frac{20}{7} गुणचें.

$$-\frac{5}{42}$$

गुणकपद

$$-\frac{5}{42} = -0.11904761904761904$$