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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}\\)
Identify the like terms in the expression
$$
13\sqrt{22b} - 10\sqrt{22b}
$$
Subtract the coefficients of the common radical
$$
(13 - 10)\sqrt{22b} = 3\sqrt{22b}
$$
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- (A) \(23\sqrt{22b}\)
- (B) \(130\sqrt{22b}\)
- (C) \(3\sqrt{b^2}\)
- (D) \(3\sqrt{22b}\) (Correct answer)