Question

prove that the product of 2pi and 3/4 is an irrational number. Find the product and explain why the value is irrational. Explain in 1-2 sentences

Answer 1

The product of \(2\pi\) and \(\frac{3}{4}\) is \(\frac{3}{2}\pi\). Since \(\pi\) is an irrational number and the product of a non-zero rational number (like \(\frac{3}{2}\)) and an irrational number (\(\pi\)) is also irrational, \(\frac{3}{2}\pi\) is therefore irrational.