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$\dfrac{(4+\sqrt{15})^{3/2}+(4-\sqrt{15})^{3/2}}{(6+\sqrt{35})^{3/2}-(6-\sqrt{35})^{3/2}}.$If the value of above surd is equal to $\dfrac{a}{b}$,where $\text{gcd}(a,b)=1$, find $a+b.$

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