Final answer:
The equivalent expression is 5x√(28x5) + 8x√7³.
Therefore, the correct option is option (a)
Step-by-step explanation:
The correct expression that is equivalent to 5x√28x5 + 8x³√7, when x > 0, is B. 5x√(28x5) + 8x√7³.
To simplify this expression, we first recognize that √(28x5) can be simplified further. We can break down 28 into 4 * 7 and rewrite the expression as 5x√(4 * 7 * x5) + 8x√7³.
Then, we can simplify the expression by applying the properties of radicals and exponents. The square root of (4 * 7 * x5) can be written as (2 * √(7 * x5)). The cube root of 7³ can be written as ∛(7³). Therefore, the equivalent expression is 5x√(28x5) + 8x√7³.
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