Sum of radicals
In mathematics, a sum of radicals is defined as a finite linear combination of nth roots: ∑ i = 1 n k i x i r i , {\displaystyle \sum _{i=1}^{n}k_{i}{\sqrt[{r_{i}}]{x_{i}}},} where n , r i {\displaystyle n,r_{i}} are natural numbers and k i , x i {\displaystyle k_{i},x_{i}} are real numbers. A particular special case arising in computational complexity theory is the square-root sum problem, asking whether it is possible to determine the sign of a sum of square roots, with integer coefficients, in polynomial time.