Question

Упростите выражения.

Answer 1

$(4-sqrt{3})^{2}=16-8sqrt{3}+3=19-8sqrt{3}$

 

$5sqrt{75}-3sqrt{108}=5sqrt{25cdot3}-3sqrt{36cdot3}=5cdot5sqrt{3}-3cdot6sqrt{3}=25sqrt{3}-18sqrt{3}=sqrt{3}cdot(25-18)=7sqrt{3}$

 

$(4sqrt{3}+sqrt{12})cdotsqrt{3}=4sqrt{3}cdotsqrt{3}+sqrt{12}cdotsqrt{3}=4cdot3+sqrt{36}=12+6=18$

Answer 2

sqrt-корень

1) (4-sqrt(3))^2=16-8*sqrt(3)+3=19-8*sqrt(3)

2)5*sqrt(75)-3*sqrt(108)=5*sqrt(25*3)-3*sqrt(3*36)=25*sqrt(3)-18sqrt(3)=7*sqrt(3)

3)(4*sqrt(3)+sqrt(12))*sqrt(3)=(4*sqrt(3)+2*sqrt(3))*sqrt(3)=12+6=18