## Algebra: A Combined Approach (4th Edition)

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