Question

Prove that 7+3√2 is not a rational number 0th

Answer 1

assume that 7+3√2 is rational

7+3√2=a/b( where a and b are coprimes and b≠0)

3√2=a/b-7

3√2=(a-7b)/b

√2=(a-7b)/3b

This contradiction have occurred due to our wrong assumption.

As √2 irrational (theorem) we can conclude that 7+3√2 is irrational.

hope this can help