Question

1) prove
that
√3+√2 is
an
irrational​

Answer 1

To Prove:

√3+√2 is  an  irrational​ number

Proof:

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, (√3 + √2) is an irrational no.