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 610: 42

Answer

$ \frac{\sqrt 11}{11}$

Work Step by Step

$\frac{1}{\sqrt 11}$ To simplify this, we cannot have a radical in the denominator. We multiply $\frac{1}{\sqrt 11}$ by $\frac{\sqrt 11}{\sqrt 11}$ $\frac{1}{\sqrt 11} \times \frac{\sqrt 11}{\sqrt 11}$ $ \frac{1 \times \sqrt 11}{\sqrt 11 \times \sqrt 11}$ $ \frac{\sqrt 11}{\sqrt 121}$ Square root of 121 is 11 because 11 x 11 = 121 $ \frac{\sqrt 11}{11}$
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