Answer
$ \frac{\sqrt{5}+1}{2}$
1.62
Work Step by Step
$\frac{2}{\sqrt{5}–1}$
$= \frac{2}{\sqrt{5}–1} \times \frac{\sqrt{5}+1}{\sqrt{5}+1}$
$= \frac{2(\sqrt{5}+1)}{\sqrt{5}^2–1}$
$= \frac{2(\sqrt{5}+1)}{4}$
$= \frac{\sqrt{5}+1}{2}$
$= \frac{1.236+1}{2} = 1.618$
Evaluation to hundredth place
1.62 to 1
