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Maybe many questions on forum because method is not universal. What about this one:

JA1S := (2*sqrt(2*y+3)*y+3*sqrt(2*y+3)-3*sqrt(3))/((2*y+3)^(3/2)*y);

simplify(JA1S, power, radical, symbolic); - nothing

combine(JA1S, power, radical, symbolic); - nothing

Moreover, can i somehow also reduce by y?

GAL := 3*sqrt(6)/((2*x^2+3)*sqrt(4*x^2+6));

simplify(GAL) and combine(GAL,power)

have same result.

How to make them return

3*sqrt(3)/(2*x^2+3)^(3/2) ?

Let a:= (2x-1)/sqrt(1-4x²)  , b:=sqrt(1-2x)/sqrt(1+2x)

then c:=combine(a/b,radical,symbolic) is 1, it should be -1 !

(Multiply b top and bottom by sqrt(1-2x) to see this).

Am I misunderstanding combine?

How can I sort a list with radicals?

a:=[sqrt(8),sqrt(2),sqrt(39),-sqrt(5),sqrt(26)]

sort(a) returns the same list in the same order. 

Is there a way in Maple to compute a radical ideal?

For example, how to compute radical ideal of "a+b" with a,b in any field?

Thanks in advance.

Gepo

In this previous post, an example is shown that demonstrates the potential problems that can arise following symbolic conversions such as from sqrt(x^2)  to x^(1/2).

Here x is an unknown symbol. The difficulties include the fact that, while `sqrt` can be smart about simplifying numeric values (eg. integers, rationals) the `^` operator has no such opportunity. Once the conversion from `sqrt`...