Math, asked by sushmakhatru496, 5 months ago

prove that √5 is irrational?​

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Answered by pradeepa0211
1

Answer:

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Answered by veerasrinivasaraolac
1

Answer:

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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