#### 7.35 Bug in combine in Maple V.4 (27.11.96)

I ran into this bug today (Maple V, Release 4.00b):

combine( 2^(1/3)+I*2^(1/3) );
2*2^(1/3)

The same bug appears with combine(..., radical). It also appears for other expressions of the
same form:

n^(p/q)+I*n^(p/q)

with n, p, and q being actual integers.

Addendum to my ﬁrst post.

combine( a^(1/3)+b*I*a^(1/3) );
a^(1/3)+b*a^(1/3)

The imaginary unit I is simply gone!

The bug is removed in Maple V Release 5. (U. Klein)

Using the option ’conjugate’ in combine avoids at least the disappearing of the
imaginary unit, but does no combining at all. I guess this is not what you really
want.

Indeed a mystery:

in anything like:

combine(a^(2/7)+I*b^(5/13));

with powers, other than `(1/2)`

, the "I" dispappears.

However, if we add the option "power"

combine(a^(2/7)+I*b^(5/13),power);

the answer is again allright.