I have been reading for the last hour about different ways to take an nth root in sage. I am having trouble finding a way to do so for very large numbers.
Any help would be much appreciated. I have tried ^(1/n) and pow and a number of others.
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$\begingroup$ x^(1/n), x**(1/n), or pow(x,1/n) should all work. If the problem is that you want a concrete number rather than a symbolic expression, try n(x^(1/n)) to find the approximate numerical value of an expression. You might also want to run tutorial() to open a browser window with the tutorial. $\endgroup$– András SalamonOct 10, 2016 at 2:28
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$\begingroup$ When I do those it just appends ^(1/5) for example to my number... It doesn't actually do the operation. $\endgroup$– MathIsHardOct 10, 2016 at 2:32
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$\begingroup$ This is my number 383359376317228026832765614031101780857214373741934853796883469684751393959423303934031779306976105234618634914722122231966050161090557311139688754390702005669975825514220776140658553598335180339644221202109745240693646681489614040361698983885974381266138822986136754230956173498395067036601233601299698337833849969027885834924082799260330843401454066113756946449729494314541583444719025620597701816509274146453 $\endgroup$– MathIsHardOct 10, 2016 at 2:34
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$\begingroup$ This is M^(1/5) $\endgroup$– MathIsHardOct 10, 2016 at 2:34
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1$\begingroup$ @ryBear - yes, I just try to help cross-ref for people searching later. $\endgroup$– kcrismanOct 10, 2016 at 2:50
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1 Answer
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If you are looking for a numerical approximation, there are several routes open to you. Here are two.
- You can approximate after taking it with e.g.
a.n(digits=100), like here - You can use a decimal point like
383.instead of383and then do the root
More advanced options include setting a "real field" with a certain accuracy like R=RealField(1000) and using that ...
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1$\begingroup$ There's also
nth_rootfunction and method, andreal_nth_rootdoc.sagemath.org/html/en/reference/functions/sage/functions/… $\endgroup$– PM 2RingDec 17, 2022 at 9:02