What is the simplest radical form of the square root of 216?

To find the simplest radical form of the square root of 216, we need to factorize 216 into its prime factors and simplify the expression.

The prime factorization of 216 is:

216 = 2 × 2 × 2 × 3 × 3 × 3 = 2^3 × 3^3

Now, we can rewrite the square root of 216 using its prime factorization:

√216 = √(2^3 × 3^3)

Using the property of radicals, we can split the square root of a product into the product of the square roots:

√(2^3 × 3^3) = √(2^3) × √(3^3)

Simplifying the square roots:

√(2^3) × √(3^3) = 2√(3^3) = 2 × 3√3

Therefore, the simplest radical form of the square root of 216 is 2√3.