Question

Prove that 3+√
2 is a rational number

Answer 1

Step-by-step explanation:

3+√2 = a/b ,

where a and b are integers and b is not equal to zero ..

therefore, √2 = (3b - a)/b is rational as a, b and 3 are integers.

But this contradicts the fact that √2 is irrational.. So, it concludes that 3+√2 is irrational.