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

Question

6390 views around the world

You can reuse this answer
Creative Commons License

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 )?