A Cambridge interview math problem! We will simplify this nested radical expression. Fun fact, both the sqrt(3-2sqrt(2)) and sqrt(2)-1 is 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

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