is 2π rational or irrational?

Answer 1

The number \( 2\pi \) is irrational. To understand why, it helps to know that \( \pi \) is itself an irrational number, meaning it cannot be expressed as a fraction of two integers. When you multiply an irrational number (like \( \pi \)) by a non-zero rational number (like 2), the result is still irrational. Thus, \( 2\pi \) is irrational.