How do you simplify $sqrt( (1 - sqrt(2)/2) / 2 )$ ?

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Answer 1 · 2015-09-17T18:48:56

$sqrt(2-sqrt2)/2$

Simplify the numerator by taking out a common denominator to get

$sqrt(((2-sqrt2)/2)/2$

$=sqrt((2-sqrt2)/4$

$sqrt(2-sqrt2)/2$

How do you simplify sqrt( (1 - sqrt(2)/2) / 2 )sqrt( (1 - sqrt(2)/2) / 2 )?