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 only 1 sentences.

Answer 1

The product of \(2\pi\) and \(\frac{3}{4}\) is \( \frac{3\pi}{2}\), and since \( \pi \) is an irrational number, multiplying it by a non-zero rational number (\(\frac{3}{2}\)) results in an irrational number, thus \( \frac{3\pi}{2} \) is irrational.