I am trying to use the nth root for natural numbers in computations and display the result as a decimal to four places. I can't find a simple reference for these functions. Is there an nroot(x,n) function?
Usually this comes up in plotting. See the Sage reference and search the page for "cube root".
sage: a = 2
sage: b = a.n()
sage: b
2.00000000000000
sage: b.nth_root(3)
1.25992104989487
sage: _^3 # _ means the previous output
2.00000000000000
There is an nth_root for real numbers like this, but be careful if you want to try this for plain old integers:
sage: a.nth_root(3)
---------------------------------------------------------------------------
<snip>
ValueError: 2 is not a 3rd power
I don't think there is one but you can define one using a couple of lines of code
def nroot(x,n):
return x**(1/n).n()
nroot(8,3)
Not so easy when you try def nroot(x,n): return x**(1/n).n() nroot(-8,3) You don't get the real root- but instead: 1.00000000000000 + 1.73205080756888*I There's the rub. :(
Asked: 2013-11-12 19:07:58 +0200
Seen: 11,719 times
Last updated: Nov 13 '13
Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.
