Arranging in Descending Order
- To arrange the given numbers in descending order, we need to compare their values.
- The larger the value of the number, the higher it will be ranked in the descending order.

Given Numbers:
1. 3√2
2. 4√5
3. 6√7
4. 12√3

Comparison:
- To compare the numbers, we can simplify them by calculating their approximate values.
- We know that the square root of a number between 1 and 10 will have a value between 1 and 3.

Approximate Values:
1. 3√2 ≈ 3 x 1.4 ≈ 4.2
2. 4√5 ≈ 4 x 2.2 ≈ 8.8
3. 6√7 ≈ 6 x 2.6 ≈ 15.6
4. 12√3 ≈ 12 x 1.7 ≈ 20.4

Descending Order:
- Now, comparing the approximate values, we can arrange the numbers in descending order.
1. 12√3 ≈ 20.4
2. 6√7 ≈ 15.6
3. 4√5 ≈ 8.8
4. 3√2 ≈ 4.2

Final Descending Order:
- Therefore, the numbers arranged in descending order are:
1. 12√3
2. 6√7
3. 4√5
4. 3√2
This is how the given numbers can be arranged in descending order by comparing their approximate values.