Question

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

Answer 1

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

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

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