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
$\frac{3-2\sqrt 7}{4}$.
