Is root 3 rational or irrational

Answers (1)

√3 is a irational number. Lets proof

Lets say that √3 is artional number, so it can be represented as p/q, where p and q have no common factors.

So √3 = p/q

  3 = p2/q2

3 q2=p2

Now p2 must be divisible by 3 and then p must be divisible by 3.

p=3k

3q2= (3k)2

3q2= 9k2

q2= 3k2

now we have a contradiction. so √3 is a irational number

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