Hello, I am a new user and this is my first post; I’m from Italy (sorry for bad English);
I have difficulty in put this data into the online calculator
This is my input data
(2a-(?4(a)^2)^1/3)/(?2a-(?2a)^(1/3)
I haven’t understood yet how to modify the syntax
Is there someone who could help me??? Thanks!!!
Hi,
try this:
http://www.wolframalpha.com/input/?i=(2a-(4a%5E2)%5E1%2F3)%2F(Sqrt(2a)-(2a)%5E(1%2F3))
Cheers,
Marco
This is awesome! Thanks!!!
Hi,
there is another issue… the syntax now is correct but the results is wrong (and step by step feature is not available). What’s wrong? Is the syntax processed incorrectly (so it’s wrong despite it appears ok) or there is a bug in the online calculator?
This should be the expected result
Hi,
there is not bug in the Wolfram|Alpha. But your expected result is not a general result; i.e you make additional assumptions. If you assume that a is a real number that is positive then the term simplifies to yours. But if a<0 for example Wolfram|Alpha’s solution is more appropriate.
If you go to one of the (free) cloud products (not Wolfram|alpha) and type in:
FullSimplify[(2 a - (4 a^2)^(1/3))/(Sqrt[2 a] - (2 a)^(1/3)), Assumptions -> a \[Element] Reals && a > 0 ]
you will get the result you expect. For example:
Simplify[2^(1/3) a^(1/3) + Sqrt[2] Sqrt[a] == (2 a - (4 a^2)^(1/3))/(Sqrt[2 a] - (2 a)^(1/3)),Assumptions -> a \[Element] Reals && a > 0 ]
evaluates to True, whereas
Simplify[2^(1/3) a^(1/3) + Sqrt[2] Sqrt[a] == (2 a - (4 a^2)^(1/3))/(Sqrt[2 a] - (2 a)^(1/3))]
evaluates to
(a^(2/3) - (a^2)^(1/3))/((-1 + 2^(1/6) a^(1/6)) a^(1/6)) == 0
Cheers,
Marco