Answer
$62-20\sqrt{6}$
Work Step by Step
Multiply using FOIL.
$(5\sqrt{2}-2\sqrt{3})^2=(5\sqrt{2})^2+2(-10\sqrt{2}\sqrt{3})+(-2\sqrt{3})^2
=25\cdot 2-20\sqrt{6}+4\cdot 3
=50-20\sqrt{6}+12
=62-20\sqrt{6}$
Algebra 1
by Hall, Prentice
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 - Page 616: 29
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