Question -
Answer -
Solutions:
Letus 3 + 2√5 is rational.
Then we can find co-prime x and y (y ≠ 0)
Then 3+ 2√5 = x/y
Rearranging, we get,
Since, x and y are integers, thus,
is a rational number.
Therefore, √5 is also a rationalnumber. But this contradicts the fact that √5 is irrational.
So, we conclude that 3 + 2√5 isirrational.