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Algebra Level 5

(4+15)3/2+(415)3/2(6+35)3/2(635)3/2.\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 ab\dfrac{a}{b},where gcd(a,b)=1\text{gcd}(a,b)=1, find a+b.a+b.

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