\({\left(\frac{\sqrt{\frac{\left(\alpha + 1.0\right) + \left(\beta + \beta \cdot \alpha\right)}{\alpha + \left(2 + \beta\right)}}}{\sqrt{\left(\alpha + 1.0\right) + \left(2 + \beta\right)} \cdot \sqrt{\alpha + \left(2 + \beta\right)}}\right)}^2\)
- Started with
\[\frac{\frac{\frac{\left(\left(\alpha + \beta\right) + \beta \cdot \alpha\right) + 1.0}{\left(\alpha + \beta\right) + 2 \cdot 1}}{\left(\alpha + \beta\right) + 2 \cdot 1}}{\left(\left(\alpha + \beta\right) + 2 \cdot 1\right) + 1.0}\]
2.0
- Applied simplify to get
\[\color{red}{\frac{\frac{\frac{\left(\left(\alpha + \beta\right) + \beta \cdot \alpha\right) + 1.0}{\left(\alpha + \beta\right) + 2 \cdot 1}}{\left(\alpha + \beta\right) + 2 \cdot 1}}{\left(\left(\alpha + \beta\right) + 2 \cdot 1\right) + 1.0}} \leadsto \color{blue}{\frac{\frac{\left(\alpha + 1.0\right) + \left(\beta + \beta \cdot \alpha\right)}{\alpha + \left(2 + \beta\right)}}{\left(\left(\alpha + 1.0\right) + \left(2 + \beta\right)\right) \cdot \left(\alpha + \left(2 + \beta\right)\right)}}\]
2.7
- Using strategy
rm 2.7
- Applied add-sqr-sqrt to get
\[\frac{\frac{\left(\alpha + 1.0\right) + \left(\beta + \beta \cdot \alpha\right)}{\alpha + \left(2 + \beta\right)}}{\left(\left(\alpha + 1.0\right) + \left(2 + \beta\right)\right) \cdot \color{red}{\left(\alpha + \left(2 + \beta\right)\right)}} \leadsto \frac{\frac{\left(\alpha + 1.0\right) + \left(\beta + \beta \cdot \alpha\right)}{\alpha + \left(2 + \beta\right)}}{\left(\left(\alpha + 1.0\right) + \left(2 + \beta\right)\right) \cdot \color{blue}{{\left(\sqrt{\alpha + \left(2 + \beta\right)}\right)}^2}}\]
2.1
- Applied add-sqr-sqrt to get
\[\frac{\frac{\left(\alpha + 1.0\right) + \left(\beta + \beta \cdot \alpha\right)}{\alpha + \left(2 + \beta\right)}}{\color{red}{\left(\left(\alpha + 1.0\right) + \left(2 + \beta\right)\right)} \cdot {\left(\sqrt{\alpha + \left(2 + \beta\right)}\right)}^2} \leadsto \frac{\frac{\left(\alpha + 1.0\right) + \left(\beta + \beta \cdot \alpha\right)}{\alpha + \left(2 + \beta\right)}}{\color{blue}{{\left(\sqrt{\left(\alpha + 1.0\right) + \left(2 + \beta\right)}\right)}^2} \cdot {\left(\sqrt{\alpha + \left(2 + \beta\right)}\right)}^2}\]
2.2
- Applied square-unprod to get
\[\frac{\frac{\left(\alpha + 1.0\right) + \left(\beta + \beta \cdot \alpha\right)}{\alpha + \left(2 + \beta\right)}}{\color{red}{{\left(\sqrt{\left(\alpha + 1.0\right) + \left(2 + \beta\right)}\right)}^2 \cdot {\left(\sqrt{\alpha + \left(2 + \beta\right)}\right)}^2}} \leadsto \frac{\frac{\left(\alpha + 1.0\right) + \left(\beta + \beta \cdot \alpha\right)}{\alpha + \left(2 + \beta\right)}}{\color{blue}{{\left(\sqrt{\left(\alpha + 1.0\right) + \left(2 + \beta\right)} \cdot \sqrt{\alpha + \left(2 + \beta\right)}\right)}^2}}\]
2.2
- Applied add-sqr-sqrt to get
\[\frac{\color{red}{\frac{\left(\alpha + 1.0\right) + \left(\beta + \beta \cdot \alpha\right)}{\alpha + \left(2 + \beta\right)}}}{{\left(\sqrt{\left(\alpha + 1.0\right) + \left(2 + \beta\right)} \cdot \sqrt{\alpha + \left(2 + \beta\right)}\right)}^2} \leadsto \frac{\color{blue}{{\left(\sqrt{\frac{\left(\alpha + 1.0\right) + \left(\beta + \beta \cdot \alpha\right)}{\alpha + \left(2 + \beta\right)}}\right)}^2}}{{\left(\sqrt{\left(\alpha + 1.0\right) + \left(2 + \beta\right)} \cdot \sqrt{\alpha + \left(2 + \beta\right)}\right)}^2}\]
2.2
- Applied square-undiv to get
\[\color{red}{\frac{{\left(\sqrt{\frac{\left(\alpha + 1.0\right) + \left(\beta + \beta \cdot \alpha\right)}{\alpha + \left(2 + \beta\right)}}\right)}^2}{{\left(\sqrt{\left(\alpha + 1.0\right) + \left(2 + \beta\right)} \cdot \sqrt{\alpha + \left(2 + \beta\right)}\right)}^2}} \leadsto \color{blue}{{\left(\frac{\sqrt{\frac{\left(\alpha + 1.0\right) + \left(\beta + \beta \cdot \alpha\right)}{\alpha + \left(2 + \beta\right)}}}{\sqrt{\left(\alpha + 1.0\right) + \left(2 + \beta\right)} \cdot \sqrt{\alpha + \left(2 + \beta\right)}}\right)}^2}\]
2.2
