prove that2-route3-4 is irrational
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let root 2 root 3-4=p/q be a rational number
therefore p/q-4=2root3 or p-4q/2q=root3,
which is contradiction because root 3 is an irrational number and p-4q/2q is a rational
therefore our supposition is wrong and hence, 2root3-4 is irrational
therefore p/q-4=2root3 or p-4q/2q=root3,
which is contradiction because root 3 is an irrational number and p-4q/2q is a rational
therefore our supposition is wrong and hence, 2root3-4 is irrational
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