Step-by-step explanation: To simplify the square root of 99, first create a factor tree that has 2 branches.
99 factors as 11 × 9 and 9 factors as 3 × 3.
Since we have a pair of 3's in our factor tree, a 3 can come out of the radical. Since we have a 11 that doesn't match up, it stays inside the radical and this gives us the answer of [tex]\sqrt[3]{11}[/tex].
I have also attached my work in the image provided.
