Thank you for the response micromass. I knew I must have been overlooking something like that; it seemed just a little too easy. I will go back to the drawing board and look through some more examples in my text, and see what I can come up with. I appreciate the quick feedback!
Homework Statement
If a is a prime number, prove that √a is not a rational number. (You may assume the uniqueness of prime factorization.)
Homework Equations
Per the text: A positive integer a is said to be prime if a > 1 and whenever a is written as the product of two positive...