nth Root Calculator

Posted by Dinesh on 20-06-2019T18:35

Calculate nth root of real number (integer) using roots and rational exponents Calculation tool.

REAL NTH ROOTS:

Let n be an integer greater than 1 and let a be a real number.

If n is odd, then a has one real nth root: $\sqrt[n]{a} = a^{1 / n}$ .
If n is even and a > 0, then a has two real nth roots: $\pm \sqrt[n]{a} = \pm a^{1 / n}$ .
If n is even and a = 0, then a has one nth root: $\sqrt[n]{0} = 0^{1 / n} = 0$ .
If n is even and a < 0, then a has no real nth roots.

Example: the second root of 64 is 8, because 8x8 = 64.

^ⁿ√a

where,
√ - radical sign
a - radicand number
n - nth root