1. Problem 11: Evaluate the square roots. The square root of a number $x$ is a value $y$ such that $y^2 = x$. 2. Evaluate each: a) $\sqrt{289}$ Since $17^2 = 289$, $\sqrt{289} = 17$. b) $\sqrt{0.0361}$ Rewrite $0.0361$ as $0.19^2$ because $0.19 \times 0.19 = 0.0361$, so $\sqrt{0.0361} = 0.19$. c) $\sqrt{1225}$ Since $35^2 = 1225$, $\sqrt{1225} = 35$. d) $\sqrt{5.29}$ Rewrite $5.29$ as $2.3^2$ because $2.3 \times 2.3 = 5.29$, so $\sqrt{5.29} = 2.3$. 3. Problem 12: Calculate the side length of each square from its area. The area $A$ of a square is given by $A = s^2$ where $s$ is the side length. To find $s$, use $s = \sqrt{A}$. a) Area = 2.25 cm² $s = \sqrt{2.25} = 1.5$ cm. b) Area = 361 m² $s = \sqrt{361} = 19$ m. Final answers: 11a) 17 11b) 0.19 11c) 35 11d) 2.3 12a) 1.5 cm 12b) 19 m