prove 3+2√5 a irrational no.
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Step-by-step explanation:
we will prove this by contradiction
let us suppose 3+2√5 is rational
3+2√5=a/b
a/b-3=2√5
(a-3b) /b=2√5
(a-3b) /2b=√5
a and b are integers
it means LHS is rational but we know that √5 is irrational.
Therefore our contradiction is wrong
hence 3+2√5 is irrational
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