Question

Prove that √3 - √2
is an irrational number.​

Answer 1

Let √3 - √2 = (a/b) is a rational no. On squaring both sides , we get

2 + 3 - 2√6 = (a2/b2)

So,5 - 2√6 = (a2/b2) a rational no.

So, 2√6 = 5- (a2/b2)

Since, 2√6 is an irrational no. and 5 - (a2/

b2) is a rational no.

So, my contradiction is wrong. So, (√3 - √2) is an irrational no.

❤ANSWER BY @gumnaambadshah❤