Arrange in ascending order -
`sqrt8+sqrt5,sqrt6+sqrt7,sqrt9+sqrt4,sqrt(11)+sqrt(2),sqrt(10)+sqrt(3)`

Options

A. `sqrt(8)+sqrt5gtsqrt6+sqrt7gtsqrt9+sqrt4gtsqrt(11)+sqrt(2)gtsqrt(10)+sqrt(3)`
B. `sqrt(11)+sqrt2gtsqrt10+sqrt3gtsqrt9+sqrt4gtsqrt(8)+sqrt(5)gtsqrt(6)+sqrt(7)`
C. `sqrt(11)+sqrt2gtsqrt10+sqrt3gtsqrt9+sqrt4gtsqrt(8)+sqrt(5)gtsqrt(6)+sqrt(7)`
D. None of these

Answer

To arrange the expressions \( \sqrt{8} + \sqrt{5}, \sqrt{6} + \sqrt{7}, \sqrt{9} + \sqrt{4}, \sqrt{11} + \sqrt{2}, \sqrt{10} + \sqrt{3} \) in ascending order, we can follow these steps:

### Step 1: Calculate Each Expression
1. **Calculate \( \sqrt{8} + \sqrt{5} \)**:
\[ \sqrt{8} = 2\sqrt{2} \approx 2.828, \quad \sqrt{5} \approx 2.236 \]
\[ \sqrt{8} + \sqrt{5} \approx 2.828 + 2.236 \approx 5.064 \]

2. **Calculate \( \sqrt{6} + \sqrt{7} \)**:
\[ \sqrt{6} \approx 2.449, \quad \sqrt{7} \approx 2.646 \]
\[ \sqrt{6} + \sqrt{7} \approx 2.449 + 2.646 \approx 5.095 \]

3. **Calculate \( \sqrt{9} + \sqrt{4} \)**:
\[ \sqrt{9} = 3, \quad \sqrt{4} = 2 \]
\[ \sqrt{9} + \sqrt{4} = 3 + 2 = 5 \]

4. **Calculate \( \sqrt{11} + \sqrt{2} \)**:
\[ \sqrt{11} \approx 3.317, \quad \sqrt{2} \approx 1.414 \]
\[ \sqrt{11} + \sqrt{2} \approx 3.317 + 1.414 \approx 4.731 \]

5. **Calculate \( \sqrt{10} + \sqrt{3} \)**:
\[ \sqrt{10} \approx 3.162, \quad \sqrt{3} \approx 1.732 \]
\[ \sqrt{10} + \sqrt{3} \approx 3.162 + 1.732 \approx 4.894 \]

### Step 2: List the Results
Now we have the approximate values:
- \( \sqrt{9} + \sqrt{4} \approx 5 \)
- \( \sqrt{11} + \sqrt{2} \approx 4.731 \)
- \( \sqrt{10} + \sqrt{3} \approx 4.894 \)
- \( \sqrt{8} + \sqrt{5} \approx 5.064 \)
- \( \sqrt{6} + \sqrt{7} \approx 5.095 \)

### Step 3: Arrange in Ascending Order
Now we can arrange these values in ascending order:
1. \( \sqrt{11} + \sqrt{2} \approx 4.731 \)
2. \( \sqrt{10} + \sqrt{3} \approx 4.894 \)
3. \( \sqrt{9} + \sqrt{4} = 5 \)
4. \( \sqrt{8} + \sqrt{5} \approx 5.064 \)
5. \( \sqrt{6} + \sqrt{7} \approx 5.095 \)

### Final Answer
The expressions arranged in ascending order are:
\[ \sqrt{11} + \sqrt{2}, \sqrt{10} + \sqrt{3}, \sqrt{9} + \sqrt{4}, \sqrt{8} + \sqrt{5}, \sqrt{6} + \sqrt{7} \]

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