Math Problem Solver

$2 x^{2} - 7 x + 5$ is not a square number.

A square number is a number that is the square of an integer. If $x^2 = y$ for any integer $x$, then $y$ is a square number.

$$\sqrt{2 x^{2} - 7 x + 5} = \sqrt{2 x^{2} - 7 x + 5}$$ There is no integer that satisfies $x^2=2 x^{2} - 7 x + 5$, therefore $2 x^{2} - 7 x + 5$ is not a square number.