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## Homework Statement

sqrt((2-sqrt(3))/4)

I tried to split whatever is under the radical sign into two separate parts, 1/2 and (-1/4)sqrt(3)

I realized that 1.5 times 2 is 3 and 2-1.5 = 1/2 so it seemed like it fulfilled the requirements for solving a double radical. so I put down

sqrt(3/2) - sqrt(2)

and end up with (sqrt(3) - 2)/sqrt(2) which isn't correct since the actual answer is

(sqrt(6) - sqrt(2)) / 4

What am I doing wrong?