Question

The value of $0.\overline{23}+0.\overline{22}$ is

• A.
• B.
• C. 0.45
• D. 0.78

Answer 1

The correct option is A

$0.232323....+\mathrm{0.222222.}...\underset{–}{}\mathrm{0.454545.}...\underset{–}{}0.\overline{23}+0.\overline{22}=0.\overline{45}$

We can note here the sum of two irrational numbers is irrational except in cases when the two irrational numbers are negative of each other.