<s>[INST] Transformation of an equation How do you get from the left side to the right side in this equation?
$$\frac{1+\sqrt{5}}{2} + 1  =\left(\frac{1+\sqrt{5}}{2}\right)^2$$
 [/INST] We have $$\left(\frac{1+\sqrt{5}}{2}\right)^2=\frac{1}{4}(1+\sqrt{5})^2=\frac{1}{4}(6+2\sqrt{5})=\frac{3+\sqrt{5}}{2}= \frac{1+\sqrt{5}}{2}+1$$ 
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