(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Are the statements A and B equivalent with each other?

A. Suppose that n is an integer which is not a perfect square.

B. If n >= 1, then [tex]\sqrt{n}[/tex] is either an integer or is irrational.

3. The attempt at a solution

I am keen on saying that the two statements are not equivalent.

However, Oxford's undergraduate booklet claims that they are equivalent.

In my opinion, A is inclined to that n is not a perfect square, while B is neutral.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Equivalence problem

**Physics Forums | Science Articles, Homework Help, Discussion**