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:
$(2 sqrt{12}-3 sqrt{3})^2=(2*2 sqrt{3}-3 sqrt3)^2= (4sqrt3-3 sqrt3)^2=( sqrt{3})^2=3$