Initial program 14.9
\[\sqrt[3]{\frac{g}{2 \cdot a}}\]
Initial simplification14.9
\[\leadsto \sqrt[3]{\frac{g}{a \cdot 2}}\]
- Using strategy
rm Applied cbrt-div0.8
\[\leadsto \color{blue}{\frac{\sqrt[3]{g}}{\sqrt[3]{a \cdot 2}}}\]
- Using strategy
rm Applied clear-num0.9
\[\leadsto \color{blue}{\frac{1}{\frac{\sqrt[3]{a \cdot 2}}{\sqrt[3]{g}}}}\]
Taylor expanded around 0 48.3
\[\leadsto \frac{1}{\color{blue}{e^{\frac{1}{3} \cdot \left(\log 2 + \log a\right)} \cdot {\left(\frac{1}{g}\right)}^{\frac{1}{3}}}}\]
Simplified0.9
\[\leadsto \frac{1}{\color{blue}{\sqrt[3]{\frac{1}{g}} \cdot \sqrt[3]{a \cdot 2}}}\]
Taylor expanded around -inf 62.7
\[\leadsto \color{blue}{\frac{e^{\frac{1}{3} \cdot \left(\log \left(\frac{-1}{a}\right) + \log \frac{-1}{2}\right)}}{e^{\frac{1}{3} \cdot \left(\log \left(\frac{-1}{g}\right) + \log -1\right)}}}\]
Simplified0.8
\[\leadsto \color{blue}{\frac{\sqrt[3]{\frac{-1}{a} \cdot \frac{-1}{2}}}{\sqrt[3]{\frac{-1}{g} \cdot -1}}}\]
Final simplification0.8
\[\leadsto \frac{\sqrt[3]{\frac{-1}{a} \cdot \frac{-1}{2}}}{\sqrt[3]{\frac{1}{g}}}\]
