Final answer:
Like radicals are radicals with the same index and radicand. After simplification ∛54 becomes 2∛2. Therefore, no options given in the choices are like radicals to ∛54.
Step-by-step explanation:
To answer this question, we first need to understand what like radicals are. In mathematics, like radicals are radicals that have the same index and radicand. The index is the 'root' part (in this case, the cube root represented by ∛), and the radicand is the number under the root (in this case, numbers like 54, 24, 162, etc.).
Now, let's simplify ∛54. The cube root of 54 can be simplified if you can find a number that you can cube (raise to the power 3) and still 'fit' into 54. The number 3 fits this definition because 3*3*3 (or 27) 'fits' into 54 twice. So, we can simplify ∛54 as 2∛2.
Looking at the choices given, we want to see if there are any with the same index (cube root - 3rd root) and radicand (2). Unfortunately, there are no choices that are like radicals to ∛54 after simplification.
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