Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 10 - Radical Expressions and Equations - 10-2 Simplifying Radicals - Lesson Check - Page 623: 7


$\frac{\sqrt 31}{3}$ Not Complete $7\sqrt\frac{6}{11} $ Not Complete $-5\sqrt 175$ Not Complete 25 is the square factor of 175

Work Step by Step

$\frac{\sqrt 31}{3}$ This expression is complete because there are no fractions in $\sqrt 31$, there are no square roots on the denominator and there are no square factors for 31 $7\sqrt\frac{6}{11} $ This expression is not complete because there is a fraction in the square root $-5\sqrt 175$ This is not a complete expression because there is a square factor of 175 To find the square factor of 175 we find its factors: $175 = 7\times25 $ $= 7\times5^{2}$ Therefore 25 is the square factor of 175
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