Answer
$3x-4$
Work Step by Step
Using $(a+b)(a-b)=a^2-b^2$ or the product of the sum and difference of like terms, then,
\begin{array}{l}
\left( \sqrt[]{3x}+2 \right)\left( \sqrt[]{3x}-2 \right)
\\=
(\sqrt[]{3x})^2-(2)^2
\\=
3x-4
.\end{array}
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 7 - Section 7.4 - Adding, Subtracting, and Multiplying Radical Expressions - Exercise Set - Page 439: 64
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