Question

2-underroot 3 is irrational prove that

Answer 1

Answer:

Let 2-√3 be rational.

Then,2-√2 =p/q

-√2=p/q-2

Since -2 and p/q are rational,

Difference of rationals is rational

But here,irrational =rational

So our supposition is wrong

Hence,2-√2 is irrational