Arrange the numbers in descensing order.
`2 sqrt11, 4 sqrt3, 3 sqrt5 , 5 sqrt2`

Options

A. `5 sqrt5, 4 sqrt3, 5 sqrt2, 2 sqrt11`
B. `3 sqrt5, 4 sqrt3, 5 sqrt2, 2 sqrt11`
C. `2 sqrt11, 4 sqrt3, 3 sqrt5 , 5 sqrt2`
D. `4 sqrt3, 3 sqrt5, 2 sqrt 11, 5 sqrt2`

Answer

To arrange the numbers \(2\sqrt{11}, 4\sqrt{3}, 3\sqrt{5}, 5\sqrt{2}\) in descending order, we will first convert each expression into a numerical value for easier comparison.

### Step-by-step Solution:

1. **Calculate \(2\sqrt{11}\)**:
\[ 2\sqrt{11} \approx 2 \times 3.3166 \approx 6.6332 \]

2. **Calculate \(4\sqrt{3}\)**:
\[ 4\sqrt{3} \approx 4 \times 1.7321 \approx 6.9284 \]

3. **Calculate \(3\sqrt{5}\)**:
\[ 3\sqrt{5} \approx 3 \times 2.2361 \approx 6.7083 \]

4. **Calculate \(5\sqrt{2}\)**:
\[ 5\sqrt{2} \approx 5 \times 1.4142 \approx 7.0710 \]

5. **Compare the calculated values**:
- \(2\sqrt{11} \approx 6.6332\)
- \(4\sqrt{3} \approx 6.9284\)
- \(3\sqrt{5} \approx 6.7083\)
- \(5\sqrt{2} \approx 7.0710\)

6. **Arrange in descending order**:
- The largest value is \(5\sqrt{2}\)
- The second largest is \(4\sqrt{3}\)
- The third largest is \(3\sqrt{5}\)
- The smallest is \(2\sqrt{11}\)

### Final Answer:
The numbers arranged in descending order are:
\[ 5\sqrt{2}, 4\sqrt{3}, 3\sqrt{5}, 2\sqrt{11} \]