Maple: command to simplify fraction -

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why doesn't maple simplify fraction

-sqrt(5)*(5+sqrt(5))/120

to (-1-sqrt(5))/24 ?

are there commands this?

a suitable command radnormal.

ee:=-sqrt(5)*(5+sqrt(5))/120;                              1   (1/2) /     (1/2)\                    ee := - --- 5      \5 + 5     /                            120                      radnormal( ee );                              1    1   (1/2)                           - -- - -- 5                                  24   24

there few others can form (at least particular example).

expand( ee );                              1    1   (1/2)                           - -- - -- 5                                  24   24         evala(normal( ee ));                              1    1   (1/2)                           - -- - -- 5                                  24   24

note distribution of factor 1/24 done here maple automatic simplification (and difficult disable or awkward avoid). notice how delayed evaluation won't prevent it.

'(-1-sqrt(5))/24';                             1    1                                    - -- - -- sqrt(5)                             24   24

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