The simplified radical form of 3√54 is 3√(2 * 3²). Therefore, the like radical to 3√54 is 3√(2 * 3²).
1. Start with the given radical: 3√54.
2. Break down 54 into prime factors: 54 = 2 * 3².
3. Rewrite the radical using the prime factorization: 3√(2 * 3²).
4. The like radical is then 3√(2 * 3²), as it represents the same value as the original radical, 3√54.
In summary, by breaking down the number into its prime factors and expressing the radical in simplified form, we find that the like radical is 3√(2 * 3²).
The following question may be like this:
What is a like radical to 3 square root 54 after simplifying?