सोडोवचें frac{sqrt[5]{frac{1/32}}{{left(2/3right)}^-1}}{left(1-1/3right)9/4+frac{1}{2}}+frac{sqrt{1-frac{16}{25}}}{frac{frac{4}{5}}{{left(frac{15}{2}right)}^-1}}

$$\frac{ \frac{ \sqrt[ 5 ]{ \frac{ 1 }{ 32 } } }{ { \left( \frac{ 2 }{ 3 } \right) }^{ -1 } } }{ \left( 1- \frac{ 1 }{ 3 } \right) \frac{ 9 }{ 4 } + \frac{ 1 }{ 2 } } + \frac{ \sqrt{ 1- \frac{ 16 }{ 25 } } }{ \frac{ \frac{ 4 }{ 5 } }{ { \left( \frac{ 15 }{ 2 } \right) }^{ -1 } } }$$

मूल्यांकन करचें

$$\frac{4}{15}\approx 0.266666667$$

सोडोवणी पांवडे

\sqrt[5]{\frac{1}{32}} मेजचो आनी \frac{1}{2} मेळोवचो.

$$\frac{\frac{\frac{1}{2}}{\left(\frac{2}{3}\right)^{-1}}}{\left(1-\frac{1}{3}\right)\times \frac{9}{4}+\frac{1}{2}}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{-1}}}$$

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

$$\frac{\frac{\frac{1}{2}}{\frac{3}{2}}}{\left(1-\frac{1}{3}\right)\times \frac{9}{4}+\frac{1}{2}}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{-1}}}$$

\frac{3}{2} च्या पुरकाक \frac{1}{2} गुणून \frac{3}{2} न \frac{1}{2} क भाग लावचो.

$$\frac{\frac{1}{2}\times \frac{2}{3}}{\left(1-\frac{1}{3}\right)\times \frac{9}{4}+\frac{1}{2}}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{-1}}}$$

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

$$\frac{\frac{1}{3}}{\left(1-\frac{1}{3}\right)\times \frac{9}{4}+\frac{1}{2}}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{-1}}}$$

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

$$\frac{\frac{1}{3}}{\frac{2}{3}\times \frac{9}{4}+\frac{1}{2}}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{-1}}}$$

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

$$\frac{\frac{1}{3}}{\frac{3}{2}+\frac{1}{2}}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{-1}}}$$

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

$$\frac{\frac{1}{3}}{2}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{-1}}}$$

एकोडो अपूर्णांक म्हूण \frac{\frac{1}{3}}{2} स्पश्ट करचें.

$$\frac{1}{3\times 2}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{-1}}}$$

6 मेळोवंक 3 आनी 2 गुणचें.

$$\frac{1}{6}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{-1}}}$$

\frac{9}{25} मेळोवंक 1 आनी \frac{16}{25} वजा करचे.

$$\frac{1}{6}+\frac{\sqrt{\frac{9}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{-1}}}$$

\frac{\sqrt{9}}{\sqrt{25}} च्या वर्ग मूळाचो भागाकार म्हूण \frac{9}{25} च्या वर्गमूळाचो भागाकार परत बरोवचो. न्युमरेटर आनी डिनोमिनेटर अशे दोगांचेय वर्ग मूळ घेवचे.

$$\frac{1}{6}+\frac{\frac{3}{5}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{-1}}}$$

\frac{2}{15} मेळोवंक -1 चो \frac{15}{2} पॉवर मेजचो.

$$\frac{1}{6}+\frac{\frac{3}{5}}{\frac{\frac{4}{5}}{\frac{2}{15}}}$$

\frac{2}{15} च्या पुरकाक \frac{4}{5} गुणून \frac{2}{15} न \frac{4}{5} क भाग लावचो.

$$\frac{1}{6}+\frac{\frac{3}{5}}{\frac{4}{5}\times \frac{15}{2}}$$

6 मेळोवंक \frac{4}{5} आनी \frac{15}{2} गुणचें.

$$\frac{1}{6}+\frac{\frac{3}{5}}{6}$$

एकोडो अपूर्णांक म्हूण \frac{\frac{3}{5}}{6} स्पश्ट करचें.

$$\frac{1}{6}+\frac{3}{5\times 6}$$

30 मेळोवंक 5 आनी 6 गुणचें.

$$\frac{1}{6}+\frac{3}{30}$$

3 भायर काडून आनी रद्द करून एकदम उण्या संज्ञेत अपुर्णांक \frac{3}{30} उणो करचो.

$$\frac{1}{6}+\frac{1}{10}$$

\frac{4}{15} मेळोवंक \frac{1}{6} आनी \frac{1}{10} ची बेरीज करची.

$$\frac{4}{15}$$

गुणकपद

$$\frac{2 ^ {2}}{3 \cdot 5} = 0.26666666666666666$$