Waste less time on Facebook — follow Brilliant.

Perfect square inverse

Call \(a\) the "perfect square inverse" of \(b\) if \(a\) is the smallest possible integer such that \(ab\) is a perfect square. Is the following statement true or false?

"For each positive integer \(c\), there exists a positive integer \(d\) such that \(c\) is the perfect square inverse of \(d\)."

I think it is false. What do you think?

Note by Shenal Kotuwewatta
2 years, 9 months ago

No vote yet
1 vote


There are no comments in this discussion.


Problem Loading...

Note Loading...

Set Loading...