Question

Решить: (2sqrt12 - 3sqrt3)^2

Answer 1

1-ый способ:
$(2 \sqrt{12}-3 \sqrt{3})^2=(2 \sqrt{12})^2-2* 2 \sqrt{12}*3 \sqrt3+(3 \sqrt3)^2=\\=4*12-12 \sqrt{36}+9*3=48-12*6+27=48-72+27=\\=75-72=3$
2-ой способ:
$(2 \sqrt{12}-3 \sqrt{3})^2=(2*2 \sqrt{3}-3 \sqrt3)^2= (4\sqrt3-3 \sqrt3)^2=( \sqrt{3})^2=3$