Add
(i) `(2sqrt(3)-5sqrt(2)) and (sqrt(3) + 2sqrt(2))`
(ii) `(2sqrt(2) + 5sqrt(3) - 7 sqrt(5) and (3sqrt(3)-sqrt(2) + sqrt(5))`
(iii) `((2)/(3) sqrt(7) -(1)/(2)sqrt(2)+6sqrt(11)) and ((1)/(3)sqrt(7) + (3)/(2)-sqrt(11))`

Answer

Let's solve the given problems step by step.

### (i) Add \( (2\sqrt{3} - 5\sqrt{2}) \) and \( (\sqrt{3} + 2\sqrt{2}) \)

1. **Write the expression:**
\[ (2\sqrt{3} - 5\sqrt{2}) + (\sqrt{3} + 2\sqrt{2}) \]

2. **Combine like terms:**
- Combine the terms with \(\sqrt{3}\):
\[ 2\sqrt{3} + \sqrt{3} = 3\sqrt{3} \]
- Combine the terms with \(\sqrt{2}\):
\[ -5\sqrt{2} + 2\sqrt{2} = -3\sqrt{2} \]

3. **Write the final answer:**
\[ 3\sqrt{3} - 3\sqrt{2} \]