briangel48
5

# Calculate: √5/2-√5+2/2+√5

So, $\frac{ \sqrt{5} }{2} - \sqrt{5} + \frac{2}{2} +\sqrt{5}$ $\frac{1}{2}\sqrt{5} - \sqrt{5} + \frac{2}{2} +\sqrt{5}$ 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. $\frac{1}{2}\sqrt{5} + \frac{2}{2}$ $\frac{1}{2}\sqrt{5} + 1$ Since the square root of 5 can be thought of as 5 to the one-half power, we should evaluate that first. $\sqrt{5}=2.23606797749978969640\ or\ approximately\ 2.236$ Substitute 2.236 for the square root of 5. $\frac{1}{2}(2.236) + 1$ Multiply. 1.118 + 1 Add. 2.118 So the expression is approximately equal to 2.118 (exactly 2.1180339887498948482045868343656).