First, we need to square the given expression:
$$
(6-\sqrt{3})^{2} = (6-\sqrt{3})(6-\sqrt{3})
$$
Now, we can use the FOIL method to multiply the two binomials:
$$
(6-\sqrt{3})(6-\sqrt{3}) = 6(6) + 6(-\sqrt{3}) - \sqrt{3}(6) + (-\sqrt{3})(-\sqrt{3})
$$
Simplify
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