#### Answer

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
$3+2\sqrt 5$.