prove that √5 is irrational?
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Let us assume that √5 is a Rational Number.
√5 = (a/b) ( a and b are co - primes)
Squaring on both sides.
(√5)x = (a/b)^2
5= a^2/ b^2
5b^2 = a^2
5 divides a ^2 these by 5 divides 5
a = 5c
a^2 = 25c^2
5b^2 = 25c^2
b^2 = 5c^2
√5 is a Rational Number.
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