Question

Prove that

$5 - \sqrt{3}$
is an irrational number​

Answer 1

Answer:

To prove : 5-√3 is irrational

Proof: 

Let us assume that 5 -√3 is rational.

Let ,

 5 - √3 = r , where "r" is rational

5 - r = √3

Here,

LHS is purely rational.But,on the other hand ,RHS is irrational.

This leads to a contradiction.

Hence,5-√3 is irrational

Answer 2

Step-by-step explanation:

This is the method taught to us. Sometimes in the question it will already ne mentioned that √3 is irrational. In that case you only need to do the second part.