Algebra 1

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

Chapter 1 - Foundations for Algebra - 1-3 Real Numbers and the Number Line - Practice and Problem-Solving Exercises - Page 20: 16

Answer

$\frac{11}{4}$

Work Step by Step

According to the textbook, a number, $a$, is a square root of another number, $b$, if $a^2=b$. When working with fractions, we want to find the square root of the both the numerator and the denominator. $(\frac{11}{4})^2=\frac{121}{16}$, so $\frac{11}{4}$ is a square root of $\frac{121}{16}$. Therefore: $\sqrt {\frac{121}{16}}=\frac{11}{4}$
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