Prove that
√5 is isational
Answers
Answered by
1
Answer:
yes √5 is irrational
Step-by-step explanation:
Assume that √5is rational
√5 = P/q
squaring on both sides
5=p^2/q^2
√q=p^2 x 5
q=√P^2x5
q=p(√5)
P(√5) is rational q is rational
but our assumption is wrong it is irrational
Answered by
1
Answer:
assuming that √5 is rational
√5 = p/q
squaring both sides.
5 = p²/q²
p = (√5)q
(√5)q,p should be rational but it is irrational
Hence, our assumption is wrong.
√5 is a irrational number.
Hence proved.
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