Question

Prove 1/3+5 root 2 is an irrational number

Answer 1

Let 1/3 + 5√2 be a rational no.

Let 5√2 be an irrational no.

Let 1/3 be a rational no.

Then,

p/q = 1/3 + 5√2

p/q - 1/3 = 5√2

Hence, we came to an contradiction because as we all know that sum of two rational no. is always a rational number.