Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 11 - Section 11.1 - Solving Quadratic Equations by Completing the Square - Exercise Set: 81


The simplified form of $\frac{3-9\sqrt 2}{6} $ is $\frac{1-3\sqrt 2}{2}$.

Work Step by Step

$\frac{3-9\sqrt 2}{6} $ Step 1: The highest common factor of 3 and 9 is 3. Hence, 3 and 9 can be divided by 3, and 3 can be taken outside the bracket: $\frac{3(1-3\sqrt 2)}{6} $. Step 2: 3 can be cancelled from both numerator and denominator and we will be left with $\frac{1-3\sqrt 2}{2}$.
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