Prove that root 3+root 5 is not a rational number
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Answered by
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Answer:
3+√5 is irrational
Step-by-step explanation:
Let's do this by assumption method -
let's take 3+√5 in the form of p/q and p and q are co primes
now,
3+√5 = p/q
√5 = p-3/q
since p-3/q is in the form of p/q
therefore, √5 is rational
But this contadicts the fact that √5 is irrational
Therefore, 3+√5 is irrational.
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