Question

prove that 5-√3 is irrational number​

Answer 1

Answer:

Step-by-step explanation:

Let us assume,to the contrary,that 5-/3 is irrational

That is,we can find coprime A and b(b is not equal to 0) such that 5-/3=a÷b=5b-a÷b

Since a and b are integers , we get 5-a÷b is irrational and so /3 is rational

But this contradiction has arisen because of our incorrect assumption that 5-/3 is rational

So,we conclude that 5-/3is irrational