Answer:
48*sqrt(7)
Explanation:
begin by factoring the radicals into prime factors.
32: 2 * 2 * 2 * 2 * 2
28: 2 * 2 * 7
3: 3
6:2 * 3
Now put them under a root sign
√(2*2*2*2*2*2*2*7*3*3*2 Group them together.
√2*2 * 2*2 *2*2 *2*2 * 7 * 3*3)
Now take them outside the root sign using these two rules.
- For ever pair of equal factors (like 2*2) take 1 of the 2s outside the root sign and discard the other.
- If there are an odd number of equal factors, leave the left over odd one under the root sign.
================================
- There are 4 pairs of twos with no leftovers. 2 * 2 * 2 * 2 comes outside the root sign.
- There are 2 threes. One comes outside the root sign and the other is discarded.
- There is 1 seven. It stays under the root sign.
Answer
2*2*2*2*3*√7
48sqrt(7)