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The Maxima on-line user's manual

Algebra Calculator

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Nthroot

Function: nthroot (<p>, <n>) where p is a polynomial with integer coefficients and n is a positive integer returns q, a polynomial over the integers, such that q^n=p or prints an error message indicating that p is not a perfect nth power. This routine is much faster than factor or even sqfr.

nthroot(19076306801820007642117184899948403707481076743397779349323166821719997753541639435354834734596883616944617773142364405168929648818878273677902031958675373022515986157225425080484599950675935521448362330357359933805058303921467774364895357886000735216806967684812802163020426294921079951584037633779801652254946335473011589869126785281729924833024849371636879599197427147546412266711084539249360291426700552550997742822323011893289713066397648015395945898842095756452555442259617989467491449693167767643441198286317018253027313676100020166638662320096102503366587418387400063869369876302207726871484999975877864220034274533206695047414408584253077160696602028987211796673913511279134090076646680576714742598812797103163604857600292731387027655533456873444103520272667574270329069726931923899052029554457621465500129542428822428760055380272041222092871903924204692221669824996409466762182714415149897692417393531926602283139746217841750389046322621237447532529387165888420487570296923540493164254257906640154052981560113494869414021162469908848501114974525206590294822644638750715527591915123947149390723087890734799614268869534129089402222352271580555472782599036769241903309236799363524285730239944072191645610502089132127832511316043688859381771877154926826848110756800550272065150696249798986995081632273396913130909155575679219074164657804053673767599094757087238835121528198279301295899719877379644270046372813919702389814988713083238532611841150655285211966830445538600276141584340915147827217938090948597203415418310690249201747036366758809917192657896166327254239994560492011443278290116576408007201063574923049284203778212388862243193317101687573216243850745586978606956685863879771923872762426691024244148692862513566129778750836273314787000182246931530711087875640383883046818523580523132971693913654297322618268933286894909236208251573711,3);

(%o1)                                true
(%i2) 

Related Examples

nthroot

nthroot(8,3);

Calculate

nthroot-solve

a:nthroot(8,3) = 8;

solve(a,x);

Calculate

nthroot

nthroot(2325343527608...

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nthroot

nthroot(1005169120727...

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nthroot

nthroot(1005169120727...

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nthroot

nthroot(1005169120727...

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nthroot

nthroot(8,3);

Calculate

nthroot

nthroot(8,3);

Calculate

nthroot-solve

a:nthroot(8,3) = 8;

solve(a,x);

Calculate

nthroot

nthroot(1005169120727...

Calculate