Let $x = (2 + \sqrt{3})^{1000},$ let $n = \lfloor x \rfloor,$ and let $f = x - n.$  Find
\[x(1 - f).\]
Question:
Let $x = (2 + \sqrt{3})^{1000},$ let $n = \lfloor x \rfloor,$ and let $f = x - n.$  Find
\[x(1 - f).\]
Answer:
Let's think step by step.

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1
Let $x = (2 + \sqrt{3})^{1000},$ let $n = \lfloor x \rfloor,$ and let $f = x - n.$  Find
\[x(1 - f).\]
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