Its response to your first question is in fact exactly right, because you didn't ask what you thought you asked. Your brackets are in the wrong place. You asked:
e^i(pi)+1
which is:
(pi * (e^i) ) + 1
which is:
2.69740975.. + 2.64355906... i
So it was right.
And sqrt(i) is sqrt(sqrt(-1)) which is (-1)^(1/4), so again, it was right (excepting that it put "you" instead of "i")
What's e^i(pi)+1?
The response was... a little out. I'm impressed it had a crack at least.
"It's 2.69740975483297316969108251300445672427640640289560... + 2.64355906408145617888606598966971861665798063847235.."
Edit:
Heh, asked it the square root of i, and the answer made me chuckle:
The square root of you is (-1)^(1/4).
I don't know why I'm expecting a bot to know complex plane mathematics and euler's identity.