Cubic root in Wolfram|Alpha?

[liaminn]

Could someone please explain why cube root(-343) doesn’t equal (-343)^(1/3) on both Wolfram Alpha and my HP-48 calculator.

cube root(-343)= -7, yet (-343)^(1/3)= 3.5 +6.062177… i

Links:

simplify (-343)^(1/3) - Wolfram|Alpha

cube root(-343) - Wolfram|Alpha

[bmmmburns (Marvin Ray Burns A.G.S. (cum laude))]

Look for where it says “Assuming the principal root | Use the real‐valued root instead.”

That link will give you

[kiwee (Raspi Rascal)]

I don’t even know the maths of roots other than the square root, so I can’t even tell for sure what I want to expect as result. All I need to know is that in Mathematica you can enter/handle the radical expression either with Ctrl+[2][5], with Power[], with Surd[], or with CubeRoot[].

[bmmmburns (Marvin Ray Burns A.G.S. (cum laude))]

So Raspi, do you have any specific questions on how to use other roots in Mathematica?

[kiwee (Raspi Rascal)]

Hi @Marvin , I don’t have questions regarding such roots in Mathematica. But maybe the thread starter @Liam has some?