Prove that 3 + root 5 is irrational number
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Let us assume that 3+root 5 is a rational number.
3+root5=a/b (where a and b are coprimes and b not equal to zero)
So, root 3 =a-5b/b
Since a-5b/b is rational
Root 3 is also rational
This contradicts the fact that root 3 is rational. So we can conclude that 3+root 5 is irrational...
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