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Answer 1 · 2016-09-06T02:54:53

#-.4407# nearly..According to the practice (convention ) that #sqrt# ( positive number) is the positive square root, it is OK, See explanation,

Under strict mathematical norms, #sqrt 2=2^(1/2)=+-1.414213562,,#.

Here, only the convention of choosing the positive square root makes the function real.

So,

#ln(sqrt(sqrt2-1))#

#=ln(sqrt(1.414213562...-1))#

#=ln(sqrt0.412313562...)#

#=ln(0.643594252)#

#=-.440686793...#, nearly..