Question

. Prove that 2 -V3 is irrational, given v3 is irrational.
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Answer 1

Let root 2+root 3=a/b be a rational number

(root 2+root 3) 2 =a2/b2

(5+2 root 6) =a2/b2

2 root 6 =a2/b2 - 5

How ever 2 root 6 be a irrational number a2/b2-5 which is a contradict 6on

.root 2+root 3 is irrational