Question

prove √2-3 is irrational number​

Answer 1

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.

Answer 2

Answer:

Because √2 is irrational , if we subtract any no. from it ...the result would also be irrational .

Step-by-step explanation:

Basically ...you can learn it ..that square root of primes is always irrational ...and you must have heard a moral that is better alone than a bad company .that is: When a rational no. comes in company with irrational , it becomes irrational.