Question

select the correct answer.

what is the simplified form of \\(3\sqrt{7} - 5\sqrt{7}\\)?

\\(-2\sqrt{7}\\)

\\(2\sqrt{7}\\)

\\(-\sqrt{14}\\)

\\(15\sqrt{7}\\)

Explanation:

Identify like terms with common radicals

$$ 3\sqrt{7} - 5\sqrt{7} $$

Factor out the common radical

$$ (3 - 5)\sqrt{7} $$

Simplify the coefficient

$$ -2\sqrt{7} $$

Answer:

• (A) \(-2\sqrt{7}\) (Correct answer)
• (B) \(2\sqrt{7}\)
• (C) \(-\sqrt{14}\)
• (D) \(15\sqrt{7}\)