Question

prove that root 2 + 3 is an irrational number

Answer 1

Let us assume √2+3 is a rational number.
√2+3=p/q
√2=p/q-3
√2=(p-3q)/q
√2 is not a rational number
P-3q/q is an irrational number
Therefore √2+3 is an irrational number