# How to Rationalize the Denominator of a Fraction ?

Hi, experts.

Is there any way to rationalize the denomintor of a fraction ?

For example, I tried

```
a = 1 / (2 * sqrt(2) + 3)
b = a.simplify_full(); b;
c = a.simplify_factorial(); c;
d = a.simplify_radical(); d;
e = a.simplify_rational(); e;
```

expecting any of them to return "`3 - 2*sqrt(2)`

" or "`-2*sqrt(2) + 3`

".

However, all of the above commands return `1/(2*sqrt(2) + 3)`

,

whose denominator is not rational.

I know

(1) Sage uses Maxima.

(2) Standalone version of Maxima can rationalize the denominator by typing "`ratsimp(a), algebraic: true;`

".

(3) Sage accepts "`maxima.ratsimp(a)`

", but I don't know how to pass the Maxima option "`algebraic: true;`

" to Sage.

Is there any way to rationalize the denominator with Sage ?

Thanks in advance.

-Tatsuya