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select the correct answer. which expression is equivalent to \\(13\\sqr…

Question

select the correct answer.

which expression is equivalent to \\(13\sqrt{22b} - 10\sqrt{22b}\\), if \\(b > 0\\)?

\\(23\sqrt{22b}\\)

\\(130\sqrt{22b}\\)

\\(3\sqrt{b^2}\\)

\\(3\sqrt{22b}\\)

Explanation:

Identify the like terms in the expression

$$ 13\sqrt{22b} - 10\sqrt{22b} $$

Subtract the coefficients of the common radical

$$ (13 - 10)\sqrt{22b} = 3\sqrt{22b} $$

Answer:

  • (A) \(23\sqrt{22b}\)
  • (B) \(130\sqrt{22b}\)
  • (C) \(3\sqrt{b^2}\)
  • (D) \(3\sqrt{22b}\) (Correct answer)