Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 6 - Polygons and Quadrilaterals - Algebra Review - Page 399: 1


$5\sqrt {2}$

Work Step by Step

First, we write both numbers under the same radical: $\sqrt {5} • \sqrt {10} = \sqrt {5 • 10}$ Multiply what is under the radical sign: $\sqrt {50}$ Rewrite $50$ as a product of a perfect square and another factor. We can use $25$ as the perfect square factor: $\sqrt {25 • 2}$ Take the square root of $25$ to simplify: $5\sqrt {2}$
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