Question

Prove that 3+√5is an irrational number​

Answer 1

Answer:

let's assume, on the contrary that 3+√5 is rational

that is, we can find co- prime a&b (#0) such that

3+√5 = a/b

therefore, 3 - a/b = √5

since a and b are integers so, 3 - a/b is a rational number so, √5 is also rational

but this contradicts the fact that √5 is irrational

the contradiction has arisen due to our incorrect assumption that 3 + √5 is rational

so,

we conclude that 3 + √5 is irrational.

Step-by-step explanation:

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Answer 2

Answer:

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