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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