Question

Prove that (5+302) is an irrational
number.​

Answer 1

Answer:

let us assume that (5+302)is a rational number

there exist integers p and q such that

where p and q are co-prime to each other

5+302=p/q

302=p/q-5q

5 is a rational number (p/q-5q is a rational number

but 302 is not a rational number. this gives us a contradiction

our assumption that (5+302) is a rational number is wrong it is irrational number