Final answer:
The equivalent expression of √4815, given that x > 0, is 3√535 after taking the perfect square 3² out of the radical. The provided options do not match this simplification, suggesting a possible notation error in the question.
Step-by-step explanation:
The student is asking for the equivalent expression of the radical √4815, given that x > 0. To find the equivalent expression, we need to simplify the radical. First, we should factor 4815 to see if there are any perfect squares within it. The prime factorization of 4815 is 3² × 5 × 107. Since 3² is a perfect square, we can take it out of the radical, leaving us with 3√(5×107) or 3√535. None of the provided options (1) 12:3/35, (2) 413/3, (3) 432/35, (4) 12:27 match this simplification, so it seems the expressions given in the question may not be properly related to the radical in question or might be incorrectly notated.
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