\begin{tabular}{l|l|} & \multicolumn{2}{|c}{ Simplify, without using a calculator: } \\ .1 & \( \left(2 \frac{1}{2}\right)^{2}+(0,5)^{2} \)\end{tabular}

Calculate or simplify the expression \( (2+1/2)^2+(0.5)^2 \). Calculate the value by following steps: - step0: Calculate: \(\left(2+\frac{1}{2}\right)^{2}+0.5^{2}\) - step1: Add the numbers: \(\left(\frac{5}{2}\right)^{2}+0.5^{2}\) - step2: Convert the expressions: \(\left(\frac{5}{2}\right)^{2}+\left(\frac{1}{2}\right)^{2}\) - step3: Simplify: \(\frac{5^{2}}{2^{2}}+\frac{1}{2^{2}}\) - step4: Evaluate the power: \(\frac{25}{4}+\frac{1}{2^{2}}\) - step5: Evaluate the power: \(\frac{25}{4}+\frac{1}{4}\) - step6: Transform the expression: \(\frac{25+1}{4}\) - step7: Add the numbers: \(\frac{26}{4}\) - step8: Reduce the fraction: \(\frac{13}{2}\) The simplified expression \( \left(2 \frac{1}{2}\right)^{2}+(0,5)^{2} \) is equal to \( \frac{13}{2} \), \( 6\frac{1}{2} \), or \( 6.5 \).