Limits Continuity And Differentiability

If \(\lim _\limits{x \rightarrow 1} \frac{(5 x+1)^{1 / 3}-(x+5)^{1 / 3}}{(2 x+3)^{1 / 2}-(x+4)^{1 / 2}}=\frac{\mathrm{m} \sqrt{5}}{\mathrm{n}(2 \mathrm{n})^{2 / 3}}\), where \(\operatorname{gcd}(\mathrm{m}, \mathrm{n})=1\), then \(8 \mathrm{~m}+12 \mathrm{n}\) is equal to _______.