Question

Упростить выражение $1) 6\sqrt{3} + \sqrt{27} - 3\sqrt{75} \\ 2) (\sqrt{50} - 2\sqrt{2})*\sqrt{2} \\3) (2-\sqrt{3})^{2}$

Answer 1

$1)6\sqrt{3} +\sqrt{27}-3\sqrt{75}=6\sqrt{3}+\sqrt{9*3}-3\sqrt{25*3}=6\sqrt{3}+3\sqrt{3}-15\sqrt{3}=-6\sqrt{3}$

$2)(\sqrt{50}-2\sqrt{2})*\sqrt{2}(\sqrt{25*2}-2\sqrt{2})*\sqrt{2}=(5\sqrt{2}-2\sqrt{2})*\sqrt{2}=3\sqrt{2}*\sqrt{2}=6$

$(2-\sqrt{3})^{2} =2^{2} -2*2*\sqrt{3}+(\sqrt{3})^{2}=4-4\sqrt{3} +3=7-4\sqrt{3}$