- #1

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- 3

## Homework Statement

Prove that [itex] \sqrt{3} [/itex] is irrational.

## The Attempt at a Solution

SO I will start by assuming that [itex] \sqrt{3} [/itex] is rational and i can represent this as

[itex] 3=\frac{b^2}{a^2} [/itex] and I assume that a and b have no common factors.

so now I have [itex] 3b^2=a^2 [/itex]

but this is not possible because if a and b have no common factors.

I probably need to add more to this, what do you guys think?