Question

prove that 2 minus root 3 isan irrational number​

Answer 1

Hey mate here is your answer ❤️

=> 2-√3

Let us assum that 2-√3 is an rational number.

So we can find two integers a, b where a and b are co prime numbers.

So, 2-√3=a/b

= √3 =2 - a/b

a and b are integers so 2-a/b is rational

But we know that √3 is irrational number.

So it arise the contradiction that √3 is irrational ( as we know it is irrational).

This contradiction arisen due to our wrong assumption .

Hence 2-√3 is irrational number..

Hope it will help you ✌️