1. Evaluate the following square roots: 1.a. The square root of 16900: $$\sqrt{16900} = \sqrt{169 \times 100} = \sqrt{169} \times \sqrt{100} = 13 \times 10 = 130$$ 1.b. The square root of 324: $$\sqrt{324} = 18$$ since $18 \times 18 = 324$ 1.c. The square root of 810000: $$\sqrt{810000} = \sqrt{81 \times 10000} = \sqrt{81} \times \sqrt{10000} = 9 \times 100 = 900$$ 1.d. The square root of 2364: We simplify by prime factorization: $$2364 = 2 \times 2 \times 3 \times 197$$ No perfect square factors except $2^2$, so: $$\sqrt{2364} = \sqrt{4 \times 591} = 2 \sqrt{591}$$ (approximate value $\approx 24.34$) 2. State the first six multiples: 2.a. Multiples of 11: $$11, 22, 33, 44, 55, 66$$ 2.b. Multiples of 13: $$13, 26, 39, 52, 65, 78$$ 2.c. Multiples of 21: $$21, 42, 63, 84, 105, 126$$ 3. List all factors: 3.a. Factors of 100: $$1, 2, 4, 5, 10, 20, 25, 50, 100$$ 3.b. Factors of 32: $$1, 2, 4, 8, 16, 32$$ 3.c. Factors of 48: $$1, 2, 3, 4, 6, 8, 12, 16, 24, 48$$ 4. Find the prime factors: 4.a. Prime factors of 243: $$243 = 3^5$$ 4.b. Prime factors of 100: $$100 = 2^2 \times 5^2$$