1. Solve $x^3 = 8$. The cube root formula is $x = \sqrt[3]{a}$ where $a$ is the number on the right side. Calculate $x = \sqrt[3]{8} = 2$. 2. Solve $x^3 = 64$. Calculate $x = \sqrt[3]{64} = 4$. 3. Solve $x^3 = 125$. Calculate $x = \sqrt[3]{125} = 5$. 4. Solve $x^3 = 216$. Calculate $x = \sqrt[3]{216} = 6$. 5. Solve $x^3 = 343$. Calculate $x = \sqrt[3]{343} = 7$. 6. Solve $x^3 = 512$. Calculate $x = \sqrt[3]{512} = 8$. 7. Solve $x^3 = 729$. Calculate $x = \sqrt[3]{729} = 9$. 8. Solve $x^3 = 1000$. Calculate $x = \sqrt[3]{1000} = 10$. 9. Solve $x^3 = 1331$. Calculate $x = \sqrt[3]{1331} = 11$. 10. Solve $x^3 = 1728$. Calculate $x = \sqrt[3]{1728} = 12$. --- 1. Solve $x^2 = 49$. Square root formula: $x = \pm \sqrt{a}$. Calculate $x = \pm 7$. 2. Solve $x^2 = 81$. Calculate $x = \pm 9$. 3. Solve $x^2 = 64$. Calculate $x = \pm 8$. 4. Solve $x^2 = 121$. Calculate $x = \pm 11$. 5. Solve $x^2 = 36$. Calculate $x = \pm 6$. 6. Solve $x^2 = 225$. Calculate $x = \pm 15$. 7. Solve $x^2 = 16$. Calculate $x = \pm 4$. 8. Solve $x^2 = 196$. Calculate $x = \pm 14$. 9. Solve $x^2 = 100$. Calculate $x = \pm 10$. 10. Solve $x^2 = 400$. Calculate $x = \pm 20$. 11. Solve $x^2 = 9$. Calculate $x = \pm 3$. 12. Solve $x^2 = 144$. Calculate $x = \pm 12$. --- 1. Calculate $\sqrt{36} = 6$. 2. Calculate $\sqrt{121} = 11$. 3. Calculate $\sqrt{196} = 14$. 4. Calculate $\sqrt{256} = 16$. 5. Calculate $\sqrt{324} = 18$. 6. Calculate $\sqrt{441} = 21$. 7. Calculate $\sqrt{529} = 23$. 8. Calculate $\sqrt{625} = 25$. 9. Calculate $\sqrt{784} = 28$. 10. Calculate $\sqrt{900} = 30$. Each problem uses the definition of cube roots, square roots, or solving quadratic equations by taking roots. Answers are exact integers because the numbers are perfect cubes or squares.