Prove that 3+root 5 is irrational
Answers
Answer:
us assume that 3−5 is a rational number
Then. there exist coprime integers p, q,q=0 such that
3−5=qp
=>5=3−qp
Here, 3−qp is a rational number, but 5 is a irrational number.
But, a irrational cannot be equal to a rational number.
This is a contradiction.
Thus, our assumption is wrong.
Therefore 3−5 is an irrational number.
December 20, 2019Toppr
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