Question

show that 2-√3 is an irritional number​

Answer 1

Answer:

no

Step-by-step explanation:

Let 2-√3 be rational no.

So,2-√3=p/q

-√3=p/q-2

Since,a and b are integers,a/b-2 is a rational number and

therefore,-√3 is a rational no.

but this contradicts the fact that it is a irrational number.

This contradiction arises as we have assumed 2-√3 a rational number.

So,2-√3 is a irrational no.