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?

No vote yet

1 vote

×

Problem Loading...

Note Loading...

Set Loading...

Easy Math Editor

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

There are no comments in this discussion.