(maxima.info)Package sqdnst

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81.8 Package sqdnst
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 -- Function: sqrtdenest (<expr>)
     Denests 'sqrt' of simple, numerical, binomial surds, where
     possible.  E.g.

          (%i1) load ("sqdnst")$
          (%i2) sqrt(sqrt(3)/2+1)/sqrt(11*sqrt(2)-12);
                                       sqrt(3)
                                  sqrt(------- + 1)
                                          2
          (%o2)                 ---------------------
                                sqrt(11 sqrt(2) - 12)
          (%i3) sqrtdenest(%);
                                     sqrt(3)   1
                                     ------- + -
                                        2      2
          (%o3)                     -------------
                                       1/4    3/4
                                    3 2    - 2

     Sometimes it helps to apply 'sqrtdenest' more than once, on such as
     '(19601-13860 sqrt(2))^(7/4)'.

     'load ("sqdnst")' loads this function.