Question

what is the product of 2 and \\(4\sqrt{175}\\) in simplest radical form?

a \\(8\sqrt{175}\\)

b \\(4\sqrt{35}\\)

c \\(2\sqrt{175}\\)

d \\(8\sqrt{35}\\)

Explanation:

Multiplicar los números

$$ 2 \times 4\sqrt{175} = 8\sqrt{175} $$

Simplificar el radical

$$
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$$

Calcular el producto final

$$ 8 \times 5\sqrt{7} = 40\sqrt{7} $$

Answer:

• (A) \(8\sqrt{175}\)
• (B) \(4\sqrt{35}\)
• (C) \(2\sqrt{175}\)
• (D) \(8\sqrt{35}\)