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I bought myself a new HP-35s this winter (2020).

I have a problem with keying in complex numbers i polar mode.
That is when the |absolute value| is a result of an operation,
or if [enter] i pressed just before [blue-shift] [i] [value] [ENTER]

- RPN modus.
- Polar modus
- Emptying the stack. [blue-shift][CLEAR][STK][ENTER]

[2] [sqrt] [blue-shift] [i] [45] [ENTER]
This gives an error message: SYNTAX ERROR.

[0.41] [ENTER] [1] [+] [blue-shift] [i] [45] [ENTER]
This gives an error message: SYNTAX ERROR.

[2] [ENTER] [blue-shift] [i] [45] [ENTER]
This gives an error message: SYNTAX ERROR.

So my question is. How shall I key in the following?:
|sqrt{2}| r{45} (that is 1+i1)

Best regards, Kjetil
[sqrt] is an operation key, not a number entry key.

You could enter the number as two numbers and multiply them together:


Or enter the approximate value of sqrt(2) as part of the number:


Or just enter it in rectangular form since you already know it:

The Θ key is made to enter inline values in polar mode, ex: 1.414Θ0.7

I like this answer from ijabbott :
(05-18-2020 08:07 AM)ijabbott Wrote: [ -> ]2

I also suggest using the RAD mode and entering the number in the exponential form (r.e^(iΘ)):

Ian Abbott,

Thanks a lot for your prompt response.

I like Your first solution that multiplying the “real” number (2 [sqrt]) with 1Θ45.

But when it comes to the two latter solution, I am not able to see those as answers to my question.

I should of course explicitly stated that my example, «keeing in» √2Θ45, was meant as a part of a larger calculation.

Again, thanks a lot for taking your time.

Best regards, Kjetil

Thanks a lot for Your comments!

Using exponential form (r e^(iΘ)) was interesting. – It is of course due to my limited math skills, but I have to look into Your suggestion more closely.

Best regards, Kjetil
Thanks to both for Your help. This is, as far as I could see, the right solution:

2 [√] 1 [Θ] 45 [×]

By the way; on my old HP-42S, (in polar mode), I could just press:

2 [√] 45 [COMPLEX]

Best regards, Kjetil
We all wished the 35s was a 42s...
But it’s a good calculator and you could add a small program to create the same function.


C001 LBL C
C003 SIN
C004 i
C005 x
C006 x<>y
C007 COS
C008 +
C009 x
C010 RTN


I used the z = r(i.sinΘ+ cosΘ) form to handle deg or rad modes. Unfortunately there is no flag giving the polar or rectangular mode, otherwise we could have simulated the whole behavior of the 42s.

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