Real nth Root

Compute the real n-th root of real numbers.

nthroot(x, n)

Arguments

x

numeric vector or matrix

n

positive integer specifying the exponent \(1/n\).

Details

Computes the n-th root real numbers of a numeric vector x, while x^(1/n) will return NaN for negative numbers, even in case n is odd. If some numbers in x are negative, n must be odd. (This is different in Octave)

Value

Returns a numeric vector of solutions to \(x^{1/n}\).

See also

sqrt

Examples

  nthroot(c(1, -2, 3), 3)  #=> 1.000000 -1.259921  1.442250
#> [1]  1.000000 -1.259921  1.442250
  (-2)^(1/3)               #=> NaN
#> [1] NaN