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: 82

Answer

The simplified form of $\frac{12-8\sqrt 7}{16} $ is $\frac{3-2\sqrt 7}{4}$.

Work Step by Step

$\frac{12-8\sqrt 7}{16} $ Step 1: The highest common factor of 12 and 8 is 4. Hence, 12 and 8 can be divided by 4, and 4 can be taken outside the bracket: $\frac{4(3-2\sqrt 7)}{16} $. Step 2: 4 can be cancelled from both numerator and denominator and we will be left with $\frac{3-2\sqrt 7}{4}$.
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