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Nullpo201

$\sqrt{(2Cos30^{o}+1)^{2}}-\sqrt{(1-2Sin60^{o})^{2}}=|2Cos30^{o} +1|-|1-2Sin60^{o}|=|2*\frac{\sqrt{3}}{2}+1|-|1-2*\frac{\sqrt{3}}{2}|=|\sqrt{3}+1|-|1-\sqrt{3}|=\sqrt{3}+1-(\sqrt{3}-1)=\sqrt{3}+1-\sqrt{3}+1=2$

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Universalka

Verified answer

$\sqrt{ {(2 \cos(30) + 1) }^{2} } - \sqrt{ {(1 - 2 \sin(60) }^{2} } \\ \sqrt{ {( \sqrt{3} + 1) }^{2} } - \sqrt{ {(1 - \sqrt{3}) }^{2} } \\ | \sqrt{3 } + 1 | - |1 - \sqrt{3} | \\ \sqrt{3} + 1 - ( \sqrt{3} - 1) \\ \sqrt{3 } + 1 - \sqrt{3} + 1 = 2$

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