a Cambridge interview problem: sqrt(3-2sqrt(2))=?

Behind the number: both the sqrt(3-2sqrt(2)) and sqrt(2)-1 are the results of tan(22.5 degrees) when you use different versions of the half-angle identity. This video shows you how to make them equal without using a calculator. check out the 22.5-67.5-90 special right triangle: https://youtu.be/oe3c2QrXhqo
sqrt(3-2sqrt(2))=?
nested square roots,
Simplify nested square roots,
Completing the square for square root.
Math for fun,
tan(22.5),
tan(22.5) with half angle formula,
blackpenredpen

Видео a Cambridge interview problem: sqrt(3-2sqrt(2))=? канала blackpenredpen