Simplify 3√54 .
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To simplify 3√54, we can find the prime factorization of 54.
The prime factorization of 54 is 2 × 3^3.
We can rewrite 3√54 as 3√(2 × 3^3).
Using the property of the cube root, we can split the cube root of a product into the product of the cube roots of the factors.
3√(2 × 3^3) = 3√2 × 3√(3^3)
Simplifying further, we get:
3√(2 × 3^3) = 3√2 × 3
Therefore, the simplified form of 3√54 is 3√2 × 3 or 3√2 × 3 = 3√6.