Prove 3+√5 is an irrational
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2
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as it can't be written in the form of p/q it is irrational no.
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Let if possible 3+√5 be rational.Then,
(3+√5) is rational and 3 is rational.
{(3+√5)-3} is rational ( differences of rational is rational).
= √5 is rational
This contradicts the fact that √5 id irrational.
The contradiction arrises by assuming that 3+√5 is rational.
Hence,3+√5 is irrational.
Step-by-step explanation:
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