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Which expressions are equivalent to 5x√28x5 + 8x³√7 if x > 0? A. 5x√(28x5) + 8x³√7 B. 5x√(28x5) + 8x√7³ C. 5x√(7x4x5) + 8x³√7 D. 5x³√(28x5) + 8x³√7

User Kerone
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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.

Learn more about Simplifying expressions

User Jonas Schmid
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