If \( A \) varies directly as the square root of \( B \) and inversely as the cube of \( C \), a...

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If \( A \) varies directly as the square root of \( B \) and inversely as the cube of \( C \), and if \( A=3 \) when \( B=256 \), and \( C=2 \), find \( B \) when \( A=24 \) and \( C=\frac{1}{2} \)
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