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Re: Convincing Mathematica that Sqrt[a+b]Sqrt[a-b]==Sqrt[a^2+b^2]


> Is there a way to convince Mathematica to multiply
> Sqrt[a+b]Sqrt[a-b] to produce Sqrt[a^2+b^2]?

Simplify with assumptions can do it:

In[1]:= Simplify[Sqrt[a + b]*Sqrt[a - b], a >= b] //InputForm

Out[1]//InputForm= Sqrt[a^2 - b^2]

Of course, that equality isn't true in general.

Bhuvanesh,
Wolfram Research.


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