Question

Prove that √2 + √3 is an irrational number​

Answer 1

Let us assume that 2+3 is a rational number

Then. there exist coprime integers p, q,q=0 such that 

     2+3=qp

=>qp−3=2

Squaring on both sides, we get

=>(qp−3)2=(2)2

=>q2p2−2qp3+(3)2=2

=>q2p2−2qp3+3=2

=>

Answer 2

Refer to the attachment

Hope it helps you