Question 1: Simplify: \( 3\sqrt{5} + 2\sqrt{5} \).

Answer: 5\sqrt{5}

Question 2: Calculate: \( 7\sqrt{3} - 4\sqrt{3} \).

Answer: 3\sqrt{3}

Question 3: Simplify: \( 5\sqrt{2} + 3\sqrt{2} \).

Answer: 8\sqrt{2}

Question 4: Subtract: \( 9\sqrt{7} - 4\sqrt{7} \).

Answer: 5\sqrt{7}

Question 5: If \( x = 6\sqrt{11} \) and \( y = 2\sqrt{11} \), find \( x - y \).

Answer: 4\sqrt{11}

Question 6: Add: \( 4\sqrt{8} + 7\sqrt{8} \).

Answer: 11\sqrt{8}

Question 7: Simplify: \( 2\sqrt{20} + 3\sqrt{20} \).

Answer: 5\sqrt{20}

Question 8: Calculate: \( 5\sqrt{12} - 2\sqrt{12} \).

Answer: 3\sqrt{12}

Question 9: A construction involves adding \( 3\sqrt{15} \) and \( 4\sqrt{15} \). What is the total length?

Answer: 7\sqrt{15}

Question 10: A rectangle has sides measuring \( 5\sqrt{6} \) meters and \( 2\sqrt{6} \) meters. Find the sum of the lengths of these sides.

Answer: 7\sqrt{6}

Question 11: Two quantities are \( 8\sqrt{9} \) and \( 3\sqrt{9} \). Find their difference.

Answer: 5\sqrt{9}

Question 12: A student simplifies \( 10\sqrt{2} + 4\sqrt{2} \) and then subtracts \( 5\sqrt{2} \). What is the result?

Answer: 9\sqrt{2}

Question 13: Identify and correct the mistake in simplifying: \( 6\sqrt{7} + 2\sqrt{7} = 8\sqrt{14} \).

Answer: They should have written 8\sqrt{7} instead of 8\sqrt{14}