Question

упростить выражение
$\sqrt{ \sqrt{6} + 2 \sqrt{3} + \sqrt{2} + 4.5 }$
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Answer 1

$\sqrt{\sqrt{6}+2\sqrt{3}+\sqrt{2}+4.5}=\sqrt{1+\sqrt{2}+0.5+2\sqrt{3}+\sqrt{6}+3}=\\ \\ =\sqrt{(1+0.5\sqrt{2})^2+2\sqrt{3}(1+0.5\sqrt{2})+(\sqrt{3})^2}=\sqrt{(1+0.5\sqrt{2}+\sqrt{3})^2}=\\ \\ = |1+0.5\sqrt{2}+\sqrt{3}|=1+0.5\sqrt{2}+\sqrt{3}$