Final answer:
To simplify the expression 3 sqrt(54), factorize 54 and simplify the radicals, resulting in the like radical 9 sqrt(6).
Step-by-step explanation:
The question involves simplifying a radical, which is a common task in algebra and pre-calculus. When simplifying radicals, we aim to find the prime factors of the number inside the radical and to simplify it to the most reduced form.
Let's simplify 3 sqrt(54). We factor 54 as 2 * 3 * 3 * 3. We can group the 3's to form a square, as follows:
3 sqrt(54) = 3 sqrt(2 * 32 * 3) = 3 * 3 sqrt(2 * 3) = 9 sqrt(6)
Therefore, 9 sqrt(6) is the simplified form of 3 sqrt(54) and thus is a like radical after simplification.