zadanie 2 √18 * √50= √28 * √63= √45 * √20= √30 * √480= √80 * √180= zadanie 3 zadanie 4 pomóżcie !!!!!!!

zadanie 2 √18 * √50= √28 * √63= √45 * √20= √30 * √480= √80 * √180= zadanie 3 zadanie 4 pomóżcie !!!!!!!
Odpowiedź

[latex]sqrt{18}*sqrt{50}=sqrt{9*2}*sqrt{25*2}=sqrt{9}*sqrt{2}*sqrt{25}*sqrt{2}=[/latex] [latex]=3*sqrt{2}*5*sqrt{2}=15*sqrt{2*2}=15*2=30[/latex] [latex]sqrt{28}*sqrt{63}=sqrt{4*7}*sqrt{9*7}=sqrt{4}*sqrt{7}*sqrt{9}*sqrt{7}=[/latex] [latex]=2*sqrt{7}*3*sqrt{7}=6*sqrt{7*7}=6*7=48[/latex] [latex]sqrt{45}*sqrt{20}=sqrt{9*5}*sqrt{4*5}=sqrt{9}*sqrt{5}*sqrt{4}*sqrt{5}=[/latex] [latex]=3*sqrt{5}*2*sqrt{5}=6*sqrt{5*5}=6*5=30[/latex] [latex]sqrt{30}*sqrt{480}=sqrt{6*5}*sqrt{6*5*16}=[/latex] [latex]=sqrt{6}*sqrt{5}*sqrt{6}*sqrt{5}*sqrt{16}=4*sqrt{6*6}*sqrt{5*5}=[/latex] [latex]=4*6*5=120[/latex] [latex]sqrt{80}*sqrt{180}=sqrt{16*5}*sqrt{36*5}=sqrt{16}*sqrt{5}*sqrt{36}*sqrt{5}=[/latex] [latex]=4*6*sqrt{5*5}=24*5=120[/latex] Mam nadzieję, że pomogłam. :)

[latex] sqrt{18} * sqrt{50} = sqrt{9*2}*sqrt{25*2}=3sqrt{2} * 5sqrt{2}=15*2=30[/latex] [latex]sqrt{28} * sqrt{63} = sqrt{4*7} * sqrt{9*7} =2 sqrt{7} *3 sqrt{7} =6*7=42[/latex] [latex] sqrt{45} * sqrt{20} = sqrt{9*5} * sqrt{4*5} =3 sqrt{5} *2 sqrt{5}=6*5=30 [/latex] [latex]sqrt{30} * sqrt{480} = sqrt{30}* sqrt{16*30} = sqrt{30} *4sqrt{30} =4*30=120[/latex] [latex] sqrt{80} * sqrt{180} = sqrt{4*20} * sqrt{9*20} =2 sqrt{20} *3 sqrt{20} =6*20=120[/latex]

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