Is 50 a perfect square?
An easy way you could find perfect squares is to memorize the first two, then add 2 to the differences. For example:
1, 4, 9, 16, 25, and 36 are the perfect squares up to
Now look at the differences.
See a pattern?
So, if you know that
That is, simply take the difference of two consecutive squares, add
Here's an idea rather than an authoritative answer.
It may depend on the context. Normally "No", but possibly "Yes".
It is a square of an irrational, algebraic, real number, namely
For example, if you were asked to factor the polynomial
We know that
It is still the square of a binomial:
In the context of polynomials, should we reserve the term 'perfect square' for polynomials with rational coefficients?