asked 119k views
3 votes
Is
(\pi )/(2) irrational or rational, include explanation

asked
User JLoppert
by
8.6k points

2 Answers

2 votes

Answer: irrational

Explanation:

Apart from multiplying by 0 or dividing by pi, nothing can make pi rational. pi/2 is the same thing as 1/2pi, which is irrational, because it cannot be simplified into a repeating or terminating decimal

answered
User NewToThis
by
8.3k points
7 votes

It would be irrational.

Reasoning:

A rational number is any number that can be expressed as a fraction of two integers provided that the denominator is not zero.

π is an irrational number because its approxiamation is
(22)/(7) is not the exact value of π. Additionally, we know that the quotient of irrational numbers can be rational or irrational. Here is the case where we have
(\pi )/(2), an irrational number divided by a rational number giving a quotient that is irrational.

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