Possible Duplicate:
How can you prove that the square root of two is irrational?
Can $a^2 = 2b^2$ have a solution where $a, b$ are in $\mathbb{Z}$ but not zero?
$\mathbb{Z}$ = positive and negative whole numbers
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Sign up to join this communityPossible Duplicate:
How can you prove that the square root of two is irrational?
Can $a^2 = 2b^2$ have a solution where $a, b$ are in $\mathbb{Z}$ but not zero?
$\mathbb{Z}$ = positive and negative whole numbers
If you take square root of the both sides you get:
$|a|=\sqrt{2} \cdot |b|$
So the LHS represents an integer while RHS represents an irrational number therefore equality isn't true so there is no solution of this equation in the set of integers without zero.