Question

show that 2-√3 is an irrational no.

Answer 1

Step-by-step explanation:

2-Root 3 is an irrational number because it is non recurring and non repeating

Answer 2

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.