Question

Why is the square root of a non perfect square always irrational number ?

Answer 1

Answer:

The square root of any prime number must be an irrational number. For example, because of this proof we can quickly determine that √3, √5, √7, or √11 are irrational numbers...

Answer 2

Answer:

Yes, unless X is a perfect square, sqrt(X) is irrational

Step-by-step explanation:

The proof where X= 2 is an example of the general proof: Supposesqrt(X) is rational, then there exists integers p and q such that (p/q)^2 = 2, we can cancel any common factors out of p and q so these are the simplest integers which satisfy the equation.