Question

show that are irrational number 2√3+5​

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

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.