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The Maxima on-line user's manual

Algebra Calculator

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Radexpand

-- Option variable: radexpand Default value: true

radexpand controls some simplifications of radicals.

2/(1-2);
3/(1-3);
4/(1-4);
5/(1-5);
6/(1-6);
x/(1-x);
(x/(1-x)), simplify;
(x/(1-x)), factor;
(x/(1-x)), expand;
(x/(1-x)), radcan;
(2/(1-2*x) - 1/(1-x));
(2/(1-2*x) - 1/(1-x)), expand;
(2/(1-2*x) - 1/(1-x)), radexpand;
(2/(1-2*x) - 1/(1-x)), factor;
(2/(1-2*x) - 1/(1-x)), radcan;
x*(2/(1-2*x) - 1/(1-x)), factor;
x*(2/(1-2*x) - 1/(1-x)), radcan;
x*(2/(1-2*x) - 1/(1-x)), expand;
x*(2/(1-2*x) - 1/(1-x)), radexpand;
x*(2/(1-2*x) - 1/(1-x)), simplify;
y : (2/(1-2*x) - 1/(1-x)),radcan;
sum(y, y, 1, 3);
sumcontract(y);
taylor(y);
taylor(x*y);
taylor(x*y), radcan;

When radexpand is all, causes nth roots of factors of a product which are powers of n to be pulled outside of the radical. E.g. if radexpand is all, sqrt (16*x^2) simplifies to 4*x.

More particularly, consider sqrt (x^2). * If radexpand is all or assume (x > 0) has been executed, sqrt(x^2) simplifies to x.

* If radexpand is true and domain is real (its default), sqrt(x^2) simplifies to abs(x).

* If radexpand is false, or radexpand is true and domain is complex, sqrt(x^2) is not simplified.

Note that domain only matters when radexpand is true.

(%o1)                                true
(%i2) 

Related Examples

radexpand-sqrt

a:1/2*sqrt(2-sqrt(2+s...

radexpand:all;

b:sqrt((1-sqrt(1-a^2)...

Calculate

radexpand-sqrt-true

radexpand:true;

sqrt(x)*sqrt(x);

Calculate

radexpand-sqrt-true

radexpand:true;

(6+sqrt(52))/8;

Calculate

radexpand-sqrt-true

radexpand:true;

sqrt(120);

Calculate

radexpand

? radexpand;

Calculate

radexpand-sqrt

a:1/2*sqrt(2-sqrt(2+s...

radexpand:all;

b:sqrt((1-sqrt(1-a^2)...

Calculate

radexpand-sqrt-true

radexpand:true;

sqrt(x)*sqrt(x);

Calculate

radexpand-sqrt-true

radexpand:true;

(6+sqrt(52))/8;

Calculate

radexpand-sqrt-true

radexpand:true;

sqrt(120);

Calculate

radexpand

? radexpand;

Calculate