Write in descending order :
`7sqrt(3)` and `3sqrt(7)`

Answer

To write the numbers \( 7\sqrt{3} \) and \( 3\sqrt{7} \) in descending order, we need to compare their values. Here’s how we can do that step by step:

### Step 1: Calculate \( 7\sqrt{3} \)

First, we calculate the value of \( 7\sqrt{3} \).

\[ 7\sqrt{3} \approx 7 \times 1.732 \approx 12.124 \]

### Step 2: Calculate \( 3\sqrt{7} \)

Next, we calculate the value of \( 3\sqrt{7} \).

\[ 3\sqrt{7} \approx 3 \times 2.646 \approx 7.938 \]

### Step 3: Compare the values

Now we compare the two results:

- \( 7\sqrt{3} \approx 12.124 \)
- \( 3\sqrt{7} \approx 7.938 \)

Since \( 12.124 > 7.938 \), we find that:

\[ 7\sqrt{3} > 3\sqrt{7} \]

### Step 4: Write in descending order

Based on our comparison, we can write the numbers in descending order:

\[ 7\sqrt{3}, 3\sqrt{7} \]

### Final Answer

The descending order is:

\[ 7\sqrt{3} > 3\sqrt{7} \]