Show that 4-2 -3-2-2-3

4 2√(3)2=42 2√(3)2 #160; #160; #160; #160; #160; #160; #160; #160; #160; =2× 22 2×√(3)2 #160; #160; #160; #160; ...

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Number Theory: Interesting Results

Show that 4...

Question

Show that $\frac{4 - 2 \sqrt{3}}{2} = 2 - \sqrt{3}$

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Solution

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cot 7 {\frac{1}{2}}^{\circ} = \sqrt{2} + \sqrt{3} + \sqrt{4} + \sqrt{6} .

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\frac{4^{3} - 1}{3} = 4^{2} + 4 + 1

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