Question

Prove that 2+√3 is irrational

​

Answer 1

Answer:

therefore 2+√3 is irrational

Step-by-step explanation:

hope it helps

Answer 2

Answer:

Let us assume to the contrary, that 2+√3 is rational

where a and b are integers where b is not equal to zero. Such that 2+√3=a/b

where a and b are co-prime

Now,

2+√3=a/b

√3=a/2b

Since, 2, a and b are integers, a/2b is rational, and so √3 is rational. But this contradicts the fact that

√3 is irrational. This contradiction has arisen due to our wrong assumption that 2+√3 is rational.

Therefore we can conclude that 2+√3 is irrational.