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: 33

Answer

$24c^{7}$

Work Step by Step

$-1/3 \times -6 \times \sqrt {18c^{5} \times 8 c^{9}} =2 \sqrt {144 c^{14}}$ We now separate the number and the variable into two separate square roots: $ 2 \sqrt {144} \times \sqrt {c^{14}} =2\sqrt {144} \times c^{7}$ 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. We see that 144 is a perfect square, so we know that we can simplify: $2 \sqrt {144} \times c^{7}= 24c^{7}$
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