Do you even Alge-bruh?

Algebra Level 3

log48log84=ab\large \sqrt { \frac { \log _{ 4 }{ 8 } }{ \log _{ 8 }{ 4 } } } =\frac { a }{ b }

In the equation above, aa and bb are co-prime integers. Let aa and bb be the roots of the quadratic equation x2+Cx+D=21\large { x }^{ 2 }+Cx+D=21

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

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