Question

Упростите выражения.

Answer 1

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

 

$5\sqrt{75}-3\sqrt{108}=5\sqrt{25\cdot3}-3\sqrt{36\cdot3}=5\cdot5\sqrt{3}-3\cdot6\sqrt{3}=25\sqrt{3}-18\sqrt{3}=\sqrt{3}\cdot(25-18)=7\sqrt{3}$

 

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

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