I would like to reduction to common denominator in following case.
sqrt((n*n-19)*(x**3+x**2*y**5))/sqrt(x**3+x**2*y**5) ---> sqrt( n*n - 19 )
In [4]: sqrt((n*n-19)*(x**3+x**2*y**5))/sqrt(x**3+x**2*y**5)
Out[4]:
________________________
╱ ⎛ 2 ⎞ ⎛ 3 2 5⎞
╲╱ ⎝n - 19⎠⋅⎝x + x ⋅y ⎠
───────────────────────────
____________
╱ 3 2 5
╲╱ x + x ⋅y
In [5]: ratsimp(Out[4])
Out[5]:
_____________________________________
╱ 2 3 2 2 5 3 2 5
╲╱ n ⋅x + n ⋅x ⋅y - 19⋅x - 19⋅x ⋅y
────────────────────────────────────────
____________
╱ 3 2 5
╲╱ x + x ⋅y
How can I simplify Out[4]?
In [8]: simplify(Out[4]*Out[4])
Out[8]:
2
n - 19
But I don't know How to reduction to common denominator in Out[4].
Could you tell me how to reduce to common denominator in Out[4]?
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