nth root
![Roots of integer numbers from 0 to 10. Line labels = x. x-axis = n. y-axis = nth root of x.](/Images/godic/202501/30/Roots_chart.svg3451.png")
![The four 4th roots of −1, none of which is real](/Images/godic/202501/30/NegativeOne4Root.svg3451.png")
![The three 3rd roots of −1, one of which is a negative real](/Images/godic/202501/30/NegativeOne3Root.svg3451.png")
![](/Images/godic/202501/30/Square-root_function.svg3451.png")
In mathematics, the nth root of a number x, where n is a positive integer, is a number r which, when raised to the power n yields x
where n is the degree of the root. A root of degree 2 is called a square root and a root of degree 3, a cube root. Roots of higher degree are referred by using ordinal numbers, as in fourth root, twentieth root, etc.