Answer
$11+6\sqrt{3}$.
Work Step by Step
$=(2+\sqrt{3})(4+ \sqrt{3})$.
Use the FOIL method.
$=2\cdot 4+2\cdot\sqrt{3}+4\cdot\sqrt{3}+\sqrt{3}\cdot\sqrt{3}$.
Apply product rule.
$=8+2\sqrt{3}+4\sqrt{3}+3$.
Simplify.
$=11+6\sqrt{3}$.
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 7 - Section 7.5 - Multiplying with More Than One Term and Rationalizing Denominators - Exercise Set - Page 551: 124
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
