# simplify roots with mulitple inbedded roots

Hi everyone,

I know this questions has been asked quite some times before and I've browsed a couple of hours searching for the answer but I haven't found anything that worked yet. So here it is:

So I have these two functions and I need to calculate k. I've found you can use the maxima_methods, but as you can see, it doesn't work here either. (I tested the example question and I could simplify that one with these commands, so it's not the virtual machine)

I know you can calculate it by using the maxima engine itself on the virtual machine en then you should find 37/4+3*sqrt(7). But isn't there any method a bit less far-fetched, and I also still need to find a way to switch to maxima on the cloud, so this solution is for the virtual machine only...

I'm working on a project for school concerning Sage and so far this is the only problem I've encountered.

Thanks in advance!

These kinds of questions are sort of tricky... look up Bombelli's experiments with the cubic formula to see more non-obvious examples!