Algebra 1

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

Chapter 10 - Radical Expressions and Equations - 10-2 Simplifying Radicals - Practice and Problem-Solving Exercises - Page 611: 58

Answer

30

Work Step by Step

We first combine this into one square root: $ \sqrt {12 \times 75} =\sqrt {900}$ We see if any of the factors of a radical are perfect squares (meaning that their square root will be an integer) to see if the radical is in its most simplified form. Because 900 is a perfect square, we know that we can simplify: $ \sqrt {900}=30$
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