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: 6

Answer

$\frac{\sqrt 3n}{n}$

Work Step by Step

Rationalize the denominator by multiplying the numerator and denominator by $\sqrt 2n$ $\frac{\sqrt 6}{\sqrt 2n}\times\frac{\sqrt 2n}{\sqrt 2n}$ Simplify $\frac{\sqrt 12n}{2n}$ $\frac{\sqrt 4\times\sqrt 3n}{2n}$ $\frac{2\sqrt 3n}{2n}$ $\frac{\sqrt 3n}{n}$
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