Match the given problem to the corresponding simplified radical. (3 points)

Question

√27-?
√75-?
√32- ?

4√2
5√3
3√3

Answer 1

To match the given radicals to their simplified forms, we will simplify each radical.

1. √27

   • √27 = √(9 * 3) = √9 * √3 = 3√3
   • So, √27 matches with 3√3.

2. √75

   • √75 = √(25 * 3) = √25 * √3 = 5√3
   • So, √75 matches with 5√3.

3. √32

   • √32 = √(16 * 2) = √16 * √2 = 4√2
   • So, √32 matches with 4√2.

Thus, the matches are:

• √27 - 3√3
• √75 - 5√3
• √32 - 4√2