Question

prove that 2+√3 is irrational number​

Answer 1

Answer:

Hye.. here is the solution.

Hope it helped you.

Answer 2

Answer:

2+√3 is irrational

Step-by-step explanation:

let us assume, 2+√3 is irrational

we can find coprime A and B (B is not equal to 0)

therefore, 2+A/B = √3

we get √3 = 2+A/B = 2B+A/B

since A and B are integers, we get 2+A/B is irrational, and so √3 is rational

but this contradiction the fact that √3 is irrational

this contradiction has arisen because of our assumption that 2+√3 is rational

so, we conclude that 2+√3 is irrational