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: 79


The simplified version of $\frac{6+4\sqrt 5}{2} $ is $3+2\sqrt 5$

Work Step by Step

$\frac{6+4\sqrt 5}{2} $ Step 1: The highest common factor of 6 and 4 is 2. Hence, 6 and 4 can be divided by 2 and 2 can be taken outside the bracket: $\frac{2(3+2\sqrt 5)}{2} $. Step 2: 2 can be cancelled from both numerator and denominator and we will be left with $3+2\sqrt 5$.
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