# The finest surds ever!

Algebra Level 5

$\dfrac{(4+\sqrt{15})^{3/2}+(4-\sqrt{15})^{3/2}}{(6+\sqrt{35})^{3/2}-(6-\sqrt{35})^{3/2}}.$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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