The greatest among the numbers ( 2.89 )^0.5, 2 - ( 0.5 )^2, 1 + 0.51 - 1/2, 3 is = ?

Answer: Option C

$$\begin{array}{rl}& {\left(2.89\right)}^{0.5}={\left(2.89\right)}^{\frac{5}{10}}\to \sqrt{2.89}\to 1.7\\ & \text{2}-{\left(0.5\right)}^2=2-0.25\to 1.75\\ & 1+\frac{0.5}{1-\frac{1}{2}}=1+\frac{0.5}{0.5}\to 1+1\to 2\leftarrow \text{Greatest}\\ & \sqrt{3}=1.732\end{array}$$