Negligible radicals

Algebra Level 3

(4+15)32+(415)32(6+35)32(635)32\large {\frac { { (4+\sqrt { 15 } ) }^{ \frac { 3 }{ 2 } }+{ (4-\sqrt { 15 } ) }^{ \frac { 3 }{ 2 } } }{ { (6+\sqrt { 35 } ) }^{ \frac { 3 }{ 2 } }-{ (6-\sqrt { 35 } ) }^{ \frac { 3 }{ 2 } } } }

If the value of the expression above equals to ab \frac a b for coprime positive integers a,ba,b. What is the value of a+ba+b?

This problem is a part of the set 1+2=3
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