Question

If d is a positive integer that is not a perfect square then sqrt(d) is irrational.

Answer 1

Have found a couple proofs online but have been having trouble making nay sense of it );

Answer 2

Do you know the rational roots theorem? Like, if I gave you the polynomial: $$x^2+3x+6$$could you tell me the possible rational roots? If you do know the rational roots theorem, then there is a simple-ish proof that \(\sqrt{d}\) is irrational.

Answer 3

I do not know that theorum sorry.

Answer 4

What about the Fundamental Theorem of Arithmetic? That any integer can be factored into primes in a unique way?

Answer 5

Have not gone over it yet in class. We have just being doing really basic stuff so far.

Answer 6

Sounds like I should look them up and use them though (;