nth Root Calculator

Posted by Dinesh on

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: an=a1/n.
  • If n is even and a > 0, then a has two real nth roots: ±an=±a1/n.
  • If n is even and a = 0, then a has one nth root: 0n=01/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.

Formula:

n?a

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