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what is the following product? \\(\\sqrt{10} \\cdot \\sqrt{10}\\) * 10 …

Question

what is the following product?

\\(\sqrt{10} \cdot \sqrt{10}\\)

  • 10
  • \\(10\sqrt{10}\\)
  • 100
  • \\(2\sqrt{10}\\)

Explanation:

Apply the product property of radicals

$$ \sqrt{10} \cdot \sqrt{10} = \sqrt{10 \cdot 10} $$

Simplify the radical expression

$$ \sqrt{100} = 10 $$

Answer:

  • (A) 10 (Correct answer)
  • (B) 10\(\sqrt{10}\)
  • (C) 100
  • (D) 2\(\sqrt{10}\)