Zadanie 1
Oblicz
a) \sqrt{50} - 3\sqrt{18} + 6\sqrt{72}=\sqrt{25*2}-3\sqrt{9*2}+6\sqrt{36*2}=5\sqrt2-3*3\sqrt2+6*6\sqrt2=
5\sqrt2-9\sqrt2+36\sqrt2=32\sqrt2
b)
4\sqrt[3]{- 81} + \sqrt[3]{375} - 2\sqrt[3]{24}=4\sqrt[3]{-27*3}+\sqrt[3]{125*3}-2\sqrt[3]{8*3}=
4*(-3)*\sqrt[3]3+5\sqrt[3]3-2*2\sqrt[3]3=-7\sqrt[3]3-4\sqrt[3]3=-11\sqrt[3]3
Zadanie 2
Dane są liczby x= - 5+2\sqrt3 i y= 3-4\sqrt3
a) x-y
x-y=-5+2\sqrt3-(3-4\sqrt3)=-5+2\sqrt3-3+4\sqrt3=6\sqrt3-8
b) x*y
x*y=(-5+2\sqrt3)(3-4\sqrt3)=-15+20\sqrt3+6\sqrt3-8*3=26\sqrt3-15-24=26\sqrt3-39
c) 5x+7y
5(-5+2\sqrt3)+7(3-4\sqrt3)=-25+10\sqrt3+21-28\sqrt3=-4-18\sqrt3