6.20.3 Can you answer these questions?

6.20.3.1 Solving equations over unknown Domains

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=229778

I am trying to solve for what values of some variables make some expressions true; not exactly equations. 
For a toy example, I am trying to solve for all values of $x$ that make $4x$ an Integer. 
I ... 
[equation-solving]
 

asked by Matthew Crawford https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=51196 1 vote

6.20.3.2 Not able to globalize variables from a manipulate expression

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=229534

I am attempting to globalize the variables inside of a  Manipulate  expression for which my variables are also using interdependent controls. I have attempted to use <... 
[manipulate]
 

asked by Ryan https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=74490 1 vote

6.20.3.3 force maximum simplification of radicals in a traditional way-How to do it?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=229660

this should be simple but I can't get mathematica to simplify a radical or a set of radicals and express them in the traditional way 
for example by simplifying this 
... 
[simplifying-expressions] [syntax] [traditional-form]
 

asked by BeTDa https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=72885 2 votes

answered by Daniel Huber https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=46318 0 votes