Final answer:
The simplified equivalent of √(50x) is 5√x. Prime factorization is used to break down 50x, and since 5² is a perfect square, it can be taken out of the square root.
Step-by-step explanation:
The question asks which expression is equivalent to √(50x) after it has been simplified completely. To simplify √(50x), we break it down into its prime factors: √(2×25×x) = √(2×(5²)×x). Since 5² is a perfect square, it can be taken out of the square root, giving us 5√x. This is because the square root and square cancel each other out, as in x² = √x. Therefore, the simplified form of √(50x) is 5√x.