### Computing mth roots

Keith Matthews, *Computing m-th roots*, The College Mathematics Journal 19 (1988) 174-176.

(A discrete version of Newton's method which gives the integer part of (p/q)^{1/m}.

Also see H. Lüneburg's book *On the Rational Normal Form of Endomorphisms* 1987, B.I. Wissenschaftsverlag, Mannheim/Wien/Zürich.

See the BCMATH implementation of `BABY_MTHROOT` and the BC version.

Harley Flanders supplied the idea of using equation (4) below.

*Email*

*http://www.numbertheory.org/keith.html*

9th November 2007