Question

5+3√2 is irrational​

Answer 1

Answer:

Yes it is irrational.

Let 5 + 3√2 be rational, so, it can be expressed as p/q where, p and q are co prime numbers.

5 + 3√2= p/q

or, 3√2 = p/q - 5

or, 3√2 = p - 5q / q

or √2 = p - 5q / 3q

Since, p , q , 2 and 4 are rational so √2 is rational.

This contradict the fact that √2 is irrational.

So, 5 + 3√2 is irrational.