-√5/2+√5+1 -√5/2+2√5/2+1 √5/2+1 (√5+2)/2

So, [latex] \frac{ \sqrt{5} }{2} - \sqrt{5} + \frac{2}{2} +\sqrt{5}[/latex] [latex] \frac{1}{2}\sqrt{5} - \sqrt{5} + \frac{2}{2} +\sqrt{5}[/latex] First, we have to simplify the expression. We can see that there is a negative square root of 5 and a positive square root of 5. They cancel out. In addition, we know that two-halves are equal to 1. [latex] \frac{1}{2}\sqrt{5} + \frac{2}{2}[/latex] [latex] \frac{1}{2}\sqrt{5} + 1[/latex] Since the square root of 5 can be thought of as 5 to the one-half power, we should evaluate that first. [latex]\sqrt{5}=2.23606797749978969640\ or\ approximately\ 2.236[/latex] Substitute 2.236 for the square root of 5. [latex] \frac{1}{2}(2.236) + 1[/latex] Multiply. 1.118 + 1 Add. 2.118 So the expression is approximately equal to 2.118 (exactly 2.1180339887498948482045868343656).