Question 1: Calculate the simplified form of √16 × √25.

Answer: 20

Question 2: Simplify √8 × √2 and express your answer in simplest radical form.

Answer: 4√2

Question 3: Find the value of √9 × √50.

Answer: 30

Question 4: Calculate √18 × √2 and simplify your answer completely.

Answer: 6√2

Question 5: A square garden has side lengths of √12 meters and √3 meters. What is the product of these side lengths?

Answer: √36 = 6

Question 6: Express √50 × √8 as a simplified radical.

Answer: 20

Question 7: Construct a rectangle with sides √18 meters and √8 meters. Calculate the perimeter.

Answer: 2(√18 + √8) = 2(3√2 + 2√2) = 2(5√2) = 10√2

Question 8: Simplify √200 × √50.

Answer: 100

Question 9: Identify and correct the mistake: Simplify √32 × √8 as 4√2.

Answer: Incorrect. √32 × √8 = √(32×8) = √256 = 16, not 4√2.

Question 10: Evaluate √45 × √5 and write your answer in simplest radical form.

Answer: 15

Question 11: Prove that √a × √b = √(a×b) using specific numbers, e.g., a=7, b=14.

Answer: √7 × √14 = √(7×14) = √98

Question 12: Compute √128 × √18 and simplify your answer.

Answer: 36√2