حل sqrt{6*{5/13*[7/3*(1/3+2):(2+1/2):(frac{5}{6}+frac{3}{2})+(1-frac{1}{5})]-frac{1}{2}}*{frac{5}{9}*[(frac{2}{15}+frac{5}{3}):frac{5}{2}]}^2}

تقييم

خطوات الحل

تحليل العوامل

اختبار

Arithmetic

مسائل مماثلة من البحث في الويب

https://math.stackexchange.com/q/2758671

https://physics.stackexchange.com/questions/155220/exact-formula-in-simplest-terms-for-magnetic-field-at-a-point-outside-a-solenoid

https://math.stackexchange.com/questions/144626/finding-the-dot-product

تم النسخ للحافظة

\sqrt{6\left(\frac{5}{13}\left(\frac{\frac{\frac{7}{3}\times \frac{7}{3}}{2+\frac{1}{2}}}{\frac{5}{6}+\frac{3}{2}}+1-\frac{1}{5}\right)-\frac{1}{2}\right)\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}

اجمع \frac{1}{3} مع 2 لتحصل على \frac{7}{3}.

\sqrt{6\left(\frac{5}{13}\left(\frac{\frac{\frac{49}{9}}{2+\frac{1}{2}}}{\frac{5}{6}+\frac{3}{2}}+1-\frac{1}{5}\right)-\frac{1}{2}\right)\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}

اضرب \frac{7}{3} في \frac{7}{3} لتحصل على \frac{49}{9}.

\sqrt{6\left(\frac{5}{13}\left(\frac{\frac{\frac{49}{9}}{\frac{5}{2}}}{\frac{5}{6}+\frac{3}{2}}+1-\frac{1}{5}\right)-\frac{1}{2}\right)\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}

اجمع 2 مع \frac{1}{2} لتحصل على \frac{5}{2}.

\sqrt{6\left(\frac{5}{13}\left(\frac{\frac{49}{9}\times \frac{2}{5}}{\frac{5}{6}+\frac{3}{2}}+1-\frac{1}{5}\right)-\frac{1}{2}\right)\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}

اقسم \frac{49}{9} على \frac{5}{2} من خلال ضرب \frac{49}{9} في مقلوب \frac{5}{2}.

\sqrt{6\left(\frac{5}{13}\left(\frac{\frac{98}{45}}{\frac{5}{6}+\frac{3}{2}}+1-\frac{1}{5}\right)-\frac{1}{2}\right)\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}

اضرب \frac{49}{9} في \frac{2}{5} لتحصل على \frac{98}{45}.

\sqrt{6\left(\frac{5}{13}\left(\frac{\frac{98}{45}}{\frac{7}{3}}+1-\frac{1}{5}\right)-\frac{1}{2}\right)\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}

اجمع \frac{5}{6} مع \frac{3}{2} لتحصل على \frac{7}{3}.

\sqrt{6\left(\frac{5}{13}\left(\frac{98}{45}\times \frac{3}{7}+1-\frac{1}{5}\right)-\frac{1}{2}\right)\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}

اقسم \frac{98}{45} على \frac{7}{3} من خلال ضرب \frac{98}{45} في مقلوب \frac{7}{3}.

\sqrt{6\left(\frac{5}{13}\left(\frac{14}{15}+1-\frac{1}{5}\right)-\frac{1}{2}\right)\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}

اضرب \frac{98}{45} في \frac{3}{7} لتحصل على \frac{14}{15}.

\sqrt{6\left(\frac{5}{13}\left(\frac{29}{15}-\frac{1}{5}\right)-\frac{1}{2}\right)\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}

اجمع \frac{14}{15} مع 1 لتحصل على \frac{29}{15}.

\sqrt{6\left(\frac{5}{13}\times \frac{26}{15}-\frac{1}{2}\right)\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}

اطرح \frac{1}{5} من \frac{29}{15} لتحصل على \frac{26}{15}.

\sqrt{6\left(\frac{2}{3}-\frac{1}{2}\right)\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}

اضرب \frac{5}{13} في \frac{26}{15} لتحصل على \frac{2}{3}.

\sqrt{6\times \frac{1}{6}\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}

اطرح \frac{1}{2} من \frac{2}{3} لتحصل على \frac{1}{6}.

\sqrt{\left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}

اضرب 6 في \frac{1}{6} لتحصل على 1.

\sqrt{\left(\frac{5}{9}\times \frac{\frac{9}{5}}{\frac{5}{2}}\right)^{2}}

اجمع \frac{2}{15} مع \frac{5}{3} لتحصل على \frac{9}{5}.

\sqrt{\left(\frac{5}{9}\times \frac{9}{5}\times \frac{2}{5}\right)^{2}}

اقسم \frac{9}{5} على \frac{5}{2} من خلال ضرب \frac{9}{5} في مقلوب \frac{5}{2}.

\sqrt{\left(\frac{5}{9}\times \frac{18}{25}\right)^{2}}