> I was referring to this, http://en.wikipedia.org/wiki/Algebraic_expression, 
> is_Polynomial wouldn't work if I want to identify cases like sqrt(1 - 
x**2/1 + x**2) , so thats where I thought a function might come in handy.

This might help

```
>>> from sympy.simplify.sqrtdenest import is_algebraic
>>> is_algebraic(sqrt(1 - x**2/1 + x**2))
True
```


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