Final Answer
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Divide fractions $\frac{4}{\frac{t-4}{3\left(\sqrt{t}-2\right)}}$ with Keep, Change, Flip: $a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}$
Factor the difference of squares $t-4$ as the product of two conjugated binomials