Question

Can you simplify square root of 75

Answer 1

75 = 25 x 3. Therefore the square root of 75 equals the square root of 25 times the square root of 3.

Answer 2

Answer:
`\sqrt[5]{3}`

Step-by-step explanation: Yes we can. 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.

Image provided.

Since there are two fives in the factor tree, a 5 can come out of the radical and there is a 3 that does not pair up so it can stay inside of the radical.