Odpowiedź :
32.
a) √225 = 15
√144 = 12
√10000 = 100
b) √1 7/9 = 4/3 = 1 1/3
√2 14/25 = 8/5 = 1 3/5
√1 48/121 = 13/11 = 1 2/11
c) √3/48 = √3/4√3 = 1/4
√8/50 = √4/25 = 2/5
√20/45 = √4/9 = 2/3
d) √0,0004 = 0,02
√1,69 = 1,3
√1,21 = 1,1
33.
a) ∛125 = 5
∛64000 = 40
∛-125 = -5
b) ∛-3 3/8 = -3/2 = -1 1/2
∛1/64 = 1/4
∛2 10 27 = 4/3 = 1 1/3
c) ∛0,027 = 0,3
∛-0,008 = -0,2
-∛-0,064 = -(-0,4) = 0,4
Zadanie 1
a) [tex]\sqrt{225} =15[/tex] [tex]\sqrt{144}=12[/tex] [tex]\sqrt{10000}=100[/tex]
b) [tex]\sqrt{1\frac{7}{9}} =\sqrt{\frac{16}{9}}=\frac{4}{3}=1\frac{1}{3}[/tex] [tex]\sqrt{2\frac{14}{25}}=\sqrt{\frac{64}{25}}=\frac{8}{5}=1\frac{3}{5}[/tex] [tex]\sqrt{1\frac{48}{121}}=\sqrt{\frac{169}{121}}=\frac{13}{11}=1\frac{2}{11}[/tex]
c) [tex]\sqrt{\frac{3}{48}}=\sqrt\frac{1}{16}}=\frac{1}{4}[/tex] [tex]\sqrt{\frac{8}{50}}=\sqrt\frac{16}{100}}=\frac{4}{10}=\frac{2}{5}[/tex] [tex]\sqrt\frac{20}{45}}=\sqrt\frac{4}{9}}=\frac{2}{3}[/tex]
d) [tex]\sqrt{0,0004}=\sqrt\frac{1}{2500}}=\frac{1}{50}[/tex] [tex]\sqrt{1,69}=\sqrt\frac{169}{100}= \frac{13}{10}=1\frac{3}{10}[/tex] [tex]\sqrt{1,21}=\sqrt\frac{121}{100}}=\frac{11}{10}=1\frac{1}{10}[/tex]
Zadanie 2
a) [tex]\sqrt[3]{125}=5[/tex] [tex]\sqrt[3]{64000}=40[/tex] [tex]\sqrt[3]{-125}=-5[/tex]
b) [tex]\sqrt[3]{-3\frac{3}{8}}=\sqrt[3]{-\frac{27}{8}}=-\frac{3}{2}=-1\frac{1}{2}[/tex] [tex]\sqrt[3]{\frac{1}{64}}=\frac{1}{4}[/tex] [tex]\sqrt[3]{2\frac{10}{27}}=\sqrt[3]{\frac{64}{27}}=\frac{4}{3}=1\frac{1}{3}[/tex]
c) [tex]\sqrt[3]{0,027}=\sqrt[3]{\frac{27}{1000}}=\frac{3}{10}[/tex] [tex]\sqrt[3]{-0,008}=\sqrt[3]{-\frac{8}{1000}}=-\frac{2}{10}=-\frac{1}{5}[/tex] [tex]-\sqrt[3]{-0,064}=-\sqrt[3]{-\frac{64}{1000}}=-(-\frac{4}{10})=\frac{4}{10}[/tex]
Liczę, że pomogłam ; )