The left side of the equation will result in a rational number, which could be a non-perfect square.
Explanation:
According to the Pythagorean theorem, the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.
Take
As ,
Here, 29 is not a perfect square.
So, c is irrational.
If a is a rational number and b is a rational number, c could be an irrational number as the left side of the equation will result in a rational number, which could be a non-perfect square.