Answer: [tex]\sqrt[5]{3}[/tex]
Step-by-step explanation: In this problem, we are asked to simplify the square root of 75. Notice that 75 is not a perfect square so our answer will not be an integer. In this situation, we start by setting up a factor tree. Once we set up our factor tree, we will have have a pair of fives and a 5 will come out of the radical. Also, we have a 3 that does not pair up with anything so it will stay inside the radical so we have [tex]\sqrt[5]{3}[/tex]. Therefore, the square root of 75 simplifies to [tex]\sqrt[5]{3}[/tex].
