$\text{D}$
is a point on line segment
$\text{CA}$
such that
$\text{CD} = 5$
.

$\text{E}$
is a point on line segment
$\text{BA}$
extended such that
$\text{AE} = 2$
.

If
$\text{BC} = 8$
then
$\text{AF} = \sqrt{\dfrac{a}{b}}$
, with
$(a, b) = 1$
. What is the value of
$a + b$
?

The answer is 220.

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