सोडोवचें {left(frac{1/2-frac{2/3right)}^2}{5/6}-sqrt{1/9}}{sqrt[3]{frac{1}{8}}+{left(1-frac{1}{2}right)}^2frac{9}{8}}

$$\frac{ \frac{ { \left( \frac{ 1 }{ 2 } - \frac{ 2 }{ 3 } \right) }^{ 2 } }{ \frac{ 5 }{ 6 } } - \sqrt{ \frac{ 1 }{ 9 } } }{ \sqrt[ 3 ]{ \frac{ 1 }{ 8 } } + { \left(1- \frac{ 1 }{ 2 } \right) }^{ 2 } \frac{ 9 }{ 8 } }$$

मूल्यांकन करचें

$$-\frac{48}{125}=-0.384$$

सोडोवणी पांवडे

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

$$\frac{\frac{\left(-\frac{1}{6}\right)^{2}}{\frac{5}{6}}-\sqrt{\frac{1}{9}}}{\sqrt[3]{\frac{1}{8}}+\left(1-\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

\frac{1}{36} मेळोवंक 2 चो -\frac{1}{6} पॉवर मेजचो.

$$\frac{\frac{\frac{1}{36}}{\frac{5}{6}}-\sqrt{\frac{1}{9}}}{\sqrt[3]{\frac{1}{8}}+\left(1-\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

\frac{5}{6} च्या पुरकाक \frac{1}{36} गुणून \frac{5}{6} न \frac{1}{36} क भाग लावचो.

$$\frac{\frac{1}{36}\times \frac{6}{5}-\sqrt{\frac{1}{9}}}{\sqrt[3]{\frac{1}{8}}+\left(1-\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

\frac{1}{30} मेळोवंक \frac{1}{36} आनी \frac{6}{5} गुणचें.

$$\frac{\frac{1}{30}-\sqrt{\frac{1}{9}}}{\sqrt[3]{\frac{1}{8}}+\left(1-\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

\frac{\sqrt{1}}{\sqrt{9}} च्या वर्ग मूळाचो भागाकार म्हूण \frac{1}{9} च्या वर्गमूळाचो भागाकार परत बरोवचो. न्युमरेटर आनी डिनोमिनेटर अशे दोगांचेय वर्ग मूळ घेवचे.

$$\frac{\frac{1}{30}-\frac{1}{3}}{\sqrt[3]{\frac{1}{8}}+\left(1-\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

-\frac{3}{10} मेळोवंक \frac{1}{30} आनी \frac{1}{3} वजा करचे.

$$\frac{-\frac{3}{10}}{\sqrt[3]{\frac{1}{8}}+\left(1-\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

\sqrt[3]{\frac{1}{8}} मेजचो आनी \frac{1}{2} मेळोवचो.

$$\frac{-\frac{3}{10}}{\frac{1}{2}+\left(1-\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

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

$$\frac{-\frac{3}{10}}{\frac{1}{2}+\left(\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

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

$$\frac{-\frac{3}{10}}{\frac{1}{2}+\frac{1}{4}\times \frac{9}{8}}$$

\frac{9}{32} मेळोवंक \frac{1}{4} आनी \frac{9}{8} गुणचें.

$$\frac{-\frac{3}{10}}{\frac{1}{2}+\frac{9}{32}}$$

\frac{25}{32} मेळोवंक \frac{1}{2} आनी \frac{9}{32} ची बेरीज करची.

$$\frac{-\frac{3}{10}}{\frac{25}{32}}$$

\frac{25}{32} च्या पुरकाक -\frac{3}{10} गुणून \frac{25}{32} न -\frac{3}{10} क भाग लावचो.

$$-\frac{3}{10}\times \frac{32}{25}$$

-\frac{48}{125} मेळोवंक -\frac{3}{10} आनी \frac{32}{25} गुणचें.

$$-\frac{48}{125}$$

गुणकपद

$$-\frac{48}{125} = -0.384$$