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If ∞∑k=11(k+2)√k+k√k+2=√a+√b√c, where a,b,c∈N and a,b,c∈[1,15], then a+b+c is equal to

Answer» If k=11(k+2)k+kk+2=a+bc, where a,b,cN and a,b,c[1,15], then a+b+c is equal to


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