Prove that the product of 2π and 3/4 is an irrational number. Find the product and explain why the value is irrational. Explain your reasoning in 1–2 sentences.(2 points)
1 answer
The product of 2π and 3/4 is (2π)(3/4) = (3π)/2. Since π is an irrational number, any multiple of π, such as 3π, is also irrational. Therefore, the product (3π)/2 is irrational.