Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 6 - Radical Functions and Rational Exponents - 6-5 Solving Square Root and Other Radical Equations - Practice and Problem-Solving Exercises - Page 396: 48

Answer

$B$

Work Step by Step

We want to find the side of the square given that the area of a square is given by the following formula: $A = s^2$ Let's solve this equation for $s$ first by taking the square root of $s$: $s = \sqrt A$ We are given that the area of this square is 32 $m^2$, so we'll plug this value in for $A$ to solve for $s$: $s = \sqrt {32}$ One way of answering the question in this item is to simply estimate the value of $\sqrt{32}$. note that $32$ is between the perfect square $25$ and $36$: $$25<32<36$$ This means the square root of $32$ is between the square roots of $25$ and $36$, which is $5$ and $6$, respectively. Thus, $5
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