Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 10 - Radical Expressions and Equations - 10-3 Operations with Radial Expressions - Practice and Problem-Solving Exercises: 52

Answer

$15 + 4 \sqrt 14$

Work Step by Step

$( \sqrt 7 + \sqrt 8 ) ( \sqrt 7 + \sqrt 8 )$ Use FOIL to simplify. FOIL: First (Multiply the first variables in the brackets), outside (Multiply the outer variables), Inside (Multiply the inside variables), Last (Multiply the last variables in the brackets). $7 + \sqrt 7 \sqrt 8 + \sqrt 7 \sqrt 8 + 8$ We add the radicals together and the numbers together $15 + 2 \sqrt 7 \sqrt 8$ We multiply 7 and 8 and bring them under the same radical $15 + 2 \sqrt 7 \times 8$ $15 + 2 \sqrt 4 \times 14$ Square root of 4 is 2 because 2 x 2 = 4 $15 + 4 \sqrt 14$
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