Algebra 1

Published by Prentice Hall

Chapter 10 - Radical Expressions and Equations - 10-2 Simplifying Radicals - Practice and Problem-Solving Exercises - Page 611: 49

Answer

$2 \sqrt 6$ inches

Work Step by Step

Area = $length^{2}$ The area is 24 $in^{2}$ to get one side length we take the square root of 24 $\sqrt 24$ The two factors of 24 are 4 x 6 $\sqrt (4 \times 6)$ The square root of 4 is 2 because 2 x 2 = 4 $2 \sqrt 6$ Therefore the side length is $2 \sqrt 6$ inches

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