Final answer:
To express the square root of 48 divided by 6 in simplest radical form, we can simplify the square root and then divide. The simplest radical form is (2/3)sqrt(3).
Step-by-step explanation:
To express √48 ÷ 6 in simplest radical form, we need to simplify the square root of 48 and divide it by 6. First, we can simplify the square root of 48 by breaking it down into factors. The factors of 48 are 2 * 2 * 2 * 2 * 3. Since the exponents of the prime factors are even, we can take out pairs of 2s from under the square root sign. This leaves us with √2 * 2 * 2 * 3, which simplifies to 4√3. Finally, we divide 4√3 by 6 to get (4/6)√3 or (2/3)√3 as the simplest radical form of √48 ÷ 6.