Question

Why is √2 a polynomial while √x is not? Don't copy from anywhere.

Answer 1

Answer:

This is because any polynomial must have integer power for its variable terms. And, you can see that

$\sqrt{x}$

It is raised to 1/2 power of x. So it can't be a polynomial.

While,

$\sqrt{2}$

It is raised to 0 power of x. And,

${x}^{0} = 1$

So,

$\sqrt{2} {x}^{0}$

is a polynomial.