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Sqrt


Does anyone have any suggestions for the following undesirable  
behaviour of Sqrt?

(A)

In[1] := Positive[Sqrt[2]]
Out[1] := True

In[2] := Positive[Sqrt[E]]
Out[2] := True

In[3] := Positive[Sqrt[Pi]]
Out[3] := Positive[Sqrt[Pi]]

(B)

In[1] := Sqrt[12]
Out[1] := 2 Sqrt[3]

In[2] := Sqrt24]
Out[2] := Sqrt[24]





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