The point $(4 + 7 \sqrt{3}, 7 - 4 \sqrt{3})$ is rotated $60^\circ$ counter-clockwise about the origin.  Find the resulting point.
Question:
The point $(4 + 7 \sqrt{3}, 7 - 4 \sqrt{3})$ is rotated $60^\circ$ counter-clockwise about the origin.  Find the resulting point.
Answer:
Let's think step by step.

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The point $(4 + 7 \sqrt{3}, 7 - 4 \sqrt{3})$ is rotated $60^\circ$ counter-clockwise about the origin.  Find the resulting point.
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