# Do you even Alge-bruh?

Algebra Level 3

$\large \sqrt { \frac { \log _{ 4 }{ 8 } }{ \log _{ 8 }{ 4 } } } =\frac { a }{ b }$

In the equation above, $a$ and $b$ are co-prime integers. Let $a$ and $b$ be the roots of the quadratic equation $\large { x }^{ 2 }+Cx+D=21$

Find the value of $\left| CD \right|$.

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