Radical Expressions / Equations

Tip

You may be asked to simplify radical expressions, add or subtract radical expressions, or multiply or divide radical expressions.

Sample Problem

Which of the following is equivalent to √(12x2) + √(27x2) for positive values of x?

Answer Options

(A) 15x
(B) 18x
(C) x√39
(D) 5x√3
(E) 6x√3
View Correct Answer

(D) 5x√3

√12x2 = √4 ∙ 3x2 = 2x√3 and √27x2 = √9 ∙ 3x2 = 3x√3 , so 2x√3 + 3x√3 = 5x√3

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