Given that root 2 is irrational prove that 5+3root2 is an irrational number
Dear student,
Regards
Given: √2 is irrational
Now,let us assume that 5 +3√2 is rational
So,
5+3√2 = a/b
3√2 = a/b-5 =a-5b/b
√2 = a-5b/3b
But we know that √2 is irrational
So, our assumption was wrong.
Hence 5+3√2 is irrational.
Hence proved
Regards