Multiply. √32⋅√28⋅√3⋅√6 enter your answer, in simplest radical form, in the box.

48*sqrt(7)

Step-by-step 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)

The answers are 20,30,80,180,960,890,1230,4560. on the first row