Question

prove that 2 root 3 by 5 is irrational​

Answer 1

Answer:

To prove 2 + 3 5 is irrational, let us assume that 2 + 3 5 is rational. a b b 2 + 3 5 = a b ; b ≠ 0 and a and b are integers. Since a and b are integers so, 5a - 2b will also be an integer. So, a b b 5 a - 2 b b will be rational which means is also rational.

Answer 2

Answer:

let us assume that 3 + 2√5 is a rational number. This shows (a-3b)/2b is a rational number. But we know that √5 is an irrational number. So, it contradicts our assumption.