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that root 2+ root 3 is irrational
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Let us assume that 2+√3 is is a rational number.
=> it should be in the form of p/q (fraction)
=> 2+√3 = p/q
= √3 = p/q - 2q/q
But we know that √3 is an irrational number. It contradicts our assumption that 2+√3 is a rational number.
Therefore 2+√3 is an irrational number.
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