Turn it this way

Algebra Level 2

The point (4+73 , 7−43)\left(4+7\sqrt{3}\ ,\ 7-4\sqrt{3}\right) is rotated π3\dfrac{\pi}{3} radians counterclockwise about the origin. If the resulting image is (a,b)(a,b), then what is a+ba+b?

Andy Hayes by Andy Hayes
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