show that root 2 + root 3 os irrational
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root 2 and root 3 are irrational number
Let root 2+ root 3 = a/b..be a rational number
Now squaring on both the sides
(root 2 +root 3 ) square =(a)square /(b)square
(5+2root6)=a square /b square
(2 root 6)=a/b-5
However ,2root6 be a irrational number
a square /b square -5 ..which is a contradiction
therfore. ..root 2+ root 3 is irrational number
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