Odpowiedź:
z.16
√3^+4^2+√6^2+8^2 = √9+16+√36+64 = √25+ √100 = 5+10 = 15
odp.A
z.17
√3^2+4^2+12^2 = √9+16+144 = √196 = 13
√√1+√49+√64+√81 = √1+7+8+9 = √25 = 5
√10^2+5^3 = √(2*5)^2+5^3 = √2^2*5^2+5^3 = √(2^2+5)*5^2 = √(4+5)*5^2 = √9*5^2 = 3*5 = 15
z.2.62
a) √4/9 = √2^2/3^2 = 2/3
b) √169/64 = 13/8 = 1 i 5/8
c) √0,0081 = 9/100
d) √1 i 7/9 = √16/9 = 4/3 = 1 i 1/3
e) √2 i 7/9 = √25/9 = 5/9
f) √11 i 1/9 = √100/9 = 10/3 = 3 i 1/3
g) √4 i 21/25 = √121/25 = 11/5 = 2 i 1/5
h) √3 i 13/36 = √121/36 = 11/6 = 1 5/6
i) √12 i 1/4 = √49/4 = 7/4 = 1 i 3/4
j) √4 i 25/36 =√169/36 = 13/36
k) √2 i 41/64 =√169/64 = 13/8 = 1 i 5/8
l) √3 i 22/49 = √169/49 = 13/7 = 1 i 6/7
wyłącz czynnik przed znak pierwiastka
a) √200 = √100*2 = √10^2*2 = √10^2*√2 = 10√2
b) √864 = √144*6 = √12^2*6 = √12^2*√6 = 12√6
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Odpowiedź:
z.16
√3^+4^2+√6^2+8^2 = √9+16+√36+64 = √25+ √100 = 5+10 = 15
odp.A
z.17
√3^2+4^2+12^2 = √9+16+144 = √196 = 13
√√1+√49+√64+√81 = √1+7+8+9 = √25 = 5
√10^2+5^3 = √(2*5)^2+5^3 = √2^2*5^2+5^3 = √(2^2+5)*5^2 = √(4+5)*5^2 = √9*5^2 = 3*5 = 15
z.2.62
a) √4/9 = √2^2/3^2 = 2/3
b) √169/64 = 13/8 = 1 i 5/8
c) √0,0081 = 9/100
d) √1 i 7/9 = √16/9 = 4/3 = 1 i 1/3
e) √2 i 7/9 = √25/9 = 5/9
f) √11 i 1/9 = √100/9 = 10/3 = 3 i 1/3
g) √4 i 21/25 = √121/25 = 11/5 = 2 i 1/5
h) √3 i 13/36 = √121/36 = 11/6 = 1 5/6
i) √12 i 1/4 = √49/4 = 7/4 = 1 i 3/4
j) √4 i 25/36 =√169/36 = 13/36
k) √2 i 41/64 =√169/64 = 13/8 = 1 i 5/8
l) √3 i 22/49 = √169/49 = 13/7 = 1 i 6/7
wyłącz czynnik przed znak pierwiastka
a) √200 = √100*2 = √10^2*2 = √10^2*√2 = 10√2
b) √864 = √144*6 = √12^2*6 = √12^2*√6 = 12√6
Szczegółowe wyjaśnienie: