Zadanie 15
\sqrt{72}+\sqrt{50}=\sqrt2(\sqrt{36}+\sqrt{25})=\sqrt2(6+5)=\sqrt2*11=11\sqrt2
\frac{\sqrt{48}-\sqrt{12}}{\sqrt3}=\frac{\sqrt3(\sqrt{16}-\sqrt4)}{\sqr3}=\frac{4-2}{1}=2
\sqrt{360}-\sqrt{250}=\sqrt{10}(\sqrt{36}-\sqrt{25})=\sqrt{10}(6-5)=\sqrt{10}*1=\sqrt{10}
\sqrt{162}-\sqrt{32}=\sqrt2(\sqrt81-\sqrt{16})=\sqrt2(9-4)=\sqrt2*5=5\sqrt2
\sqrt{45}-\sqrt5+\sqrt{20}=\sqrt5(\sqrt9-1+\sqrt4)=\sqrt5(3-1+2)=\sqrt5*4=4\sqrt5
Zadanie 16
Oblicz obwód i pole prostokąta. Wynik zapisz w najprostszej postaci.
a=\sqrt6
b=\sqrt{24}=\sqrt{4*6}=2\sqrt6
P=a*b=\sqrt6*2\sqrt6=2*(\sqrt6)^2=2*6=12
Ob=2a+2b=2(a+b)=2(\sqrt6+2\sqrt6)=2*3\sqrt6=6\sqrt6