Question

prove that root 5 is an irrational number

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Answer 1

Answer:

here is ur answer

by the method of contradiction

let us assume that √5 is rational number.

so,

√5 = a/b

b√5= a

squaring on both sides.

we get

5b ² =a²

if 7 divides a then it also divides a²

so

a = 5c

squaring on both sides

a² = 25 c²

5 b² = 25c²

b² = 5c²

here a b c have 5 as common factor

but √5 is irrational

this contradiction has arisen due to our incorrect assumption

this contradicts the fact that

√5 is irrational

hope it helps u

Answer 2

proved that root 5 is an irrational number