Question

prove that 3 plus root 2 whole square is irrational
please solve some one please

Answer 1

If possible let 3+ root 2 be a rational number
it can be wrten in the frm of p/ q
3+ root2 = p/q
root2 =p/q-3
we know that root 2 is a irrational number

and p/q -3 is a rational number
irrational =rational (not possible )
thus our assumption is wrong

thus we get a contradiction
hence 2+ root 3 be a irritation number

and when U are going to whole square then apply the formula of a+ b whl sq
wait I am going to send U a image that U can understand