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If,2√3= p/q
then √3= p/2q
but,we know that √3 is irrational & so, it was our contradiction
hence, 2√3 is not a rational but an irrational number

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Let consider 2 root3 is an irrational.

2root3.. p|q 
but we know that 2root3 is an irrational.
Hence 2root3is an irrational.
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