Question

Prove that 5 is an irrational number.​

Answer 1

Answer:

do the same steps with root 5

Step-by-step explanation:

hope this will help you

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Answer 2

√5 = r/s

suppose r and s have a common factor other than 1

now

√5 = a/b

so,

b*√5 = a

square both sides

5b² = a²

let a= 5c

5b²= 25c²

b² = 5c²

this means 5 divides b² and so 5 divides b

there's a and b have at least 5 as a common factor

this contradiction bcoz of one incorrect assumption that √5 is rational

answer hope this is helpful