Chapter 10 - Radical Expressions and Equations - 10-2 Simplifying Radicals - Practice and Problem-Solving Exercises - Page 624: 53

Yes

We see if any of the factors of a radical are perfect squares (meaning that their square root will be an integer) to see if the radical is in its most simplified form. The only factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30, which are all not perfect squares, so we know that this is in its most simplified form.