To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 400 meters to kilometers, divide the distance by 1000 to get 0.4km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.4km + 40.3km + 14.7km
total distance = 55.4km

1

To add these radicals together their radicands must be the same:

6\( \sqrt{175} \) + 4\( \sqrt{7} \)
6\( \sqrt{25 \times 7} \) + 4\( \sqrt{7} \)
6\( \sqrt{5^2 \times 7} \) + 4\( \sqrt{7} \)
(6)(5)\( \sqrt{7} \) + 4\( \sqrt{7} \)
30\( \sqrt{7} \) + 4\( \sqrt{7} \)

Now that the radicands are identical, you can add them together:

To subtract these radicals together their radicands must be the same:

3\( \sqrt{175} \) - 4\( \sqrt{7} \)
3\( \sqrt{25 \times 7} \) - 4\( \sqrt{7} \)
3\( \sqrt{5^2 \times 7} \) - 4\( \sqrt{7} \)
(3)(5)\( \sqrt{7} \) - 4\( \sqrt{7} \)
15\( \sqrt{7} \) - 4\( \sqrt{7} \)

Now that the radicands are identical, you can subtract them:

A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.