Question

can an irrational and rational number include PI/2?

Answer 1

Yes, \(\frac{\pi}{2}\) is an irrational number. A rational number is defined as any number that can be expressed as the quotient of two integers (in the form \(\frac{a}{b}\), where \(a\) and \(b\) are integers and \(b \neq 0\)). Since \(\pi\) is an irrational number, any non-zero multiple of it, including \(\frac{\pi}{2}\), is also irrational.

To answer your question: \(\frac{\pi}{2}\) is an irrational number and cannot be classified as a rational number.