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ułamki będę zapisywać np. 4/9, a liczby mieszane - 5 4/9, ok??
38.
a) √5 4/9 = √49/9 = 7/3 = 2 1/3
b) √1,21 = 1,1
c) √5 19/25 = √144/25 = 12/5 = 2 2/5
d) √18 7/9 = √169/9 = 13/3 = 5 1/3
e) √1 19/81 = √100/81 = 10/9 = 1 1/9
f) √7 9/16 = √121/16 = 11/4 = 2 3/4
41.
a) √18 = √3*3*2 = 3√2
b) √75 = √5*5*3 = 5√3
c) √80 = √4*4*5 = 4√5
d) √28 = √2*2*7 = 2√7
e) √72 = √6*6*2 = 6√2
f) √162 = √9*9*2 = 9√2
42.
a) √125 = √5*5*5 = 5√5
b) √112 = √4*4*7 = 4√7
c) √108 = √6*6*3= 6√3
d) √363 = √11*11*3 =11√3
e) √2000 = √20*20*5 = 20√5
f) √338 = √13*13*2 = 13√2
4.47.
a) √32 + √72 - √50 = √4*4*2 + √6*6*2 - √5*5*2 = 4√2 + 6√2 - 5√2 = 5√2
b) √12 + √243 - √108 = √2*2*3 + √9*9*3 - √6*6*3 = 2√3 + 9√3 - 6√3 = 5√3
c) √80 - √125 + √500 = √2*2*5 - √5*5*5 + √10*10*5 = 2√5 - 5√5 + 10√5 = 7√5
d) √6 + √24 + √486 = √6 + √2*2*6 + √9*9*6 = √6 + 2√6 + 9√6 = 12√6
e) √28 - √175 + √252 = √2*2*7 - √5*5*7 + √6*6*7 = 2√7 - 5√7 + 6√7 = 3√7
f) √44 + √99 + √1100 = √2*2*11 + √3*3*11 + √10*10*11 = 2√11 + 3√11 + 10√11 = 15√11
Pozdrawiam ;)
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ułamki będę zapisywać np. 4/9, a liczby mieszane - 5 4/9, ok??
38.
a) √5 4/9 = √49/9 = 7/3 = 2 1/3
b) √1,21 = 1,1
c) √5 19/25 = √144/25 = 12/5 = 2 2/5
d) √18 7/9 = √169/9 = 13/3 = 5 1/3
e) √1 19/81 = √100/81 = 10/9 = 1 1/9
f) √7 9/16 = √121/16 = 11/4 = 2 3/4
41.
a) √18 = √3*3*2 = 3√2
b) √75 = √5*5*3 = 5√3
c) √80 = √4*4*5 = 4√5
d) √28 = √2*2*7 = 2√7
e) √72 = √6*6*2 = 6√2
f) √162 = √9*9*2 = 9√2
42.
a) √125 = √5*5*5 = 5√5
b) √112 = √4*4*7 = 4√7
c) √108 = √6*6*3= 6√3
d) √363 = √11*11*3 =11√3
e) √2000 = √20*20*5 = 20√5
f) √338 = √13*13*2 = 13√2
4.47.
a) √32 + √72 - √50 = √4*4*2 + √6*6*2 - √5*5*2 = 4√2 + 6√2 - 5√2 = 5√2
b) √12 + √243 - √108 = √2*2*3 + √9*9*3 - √6*6*3 = 2√3 + 9√3 - 6√3 = 5√3
c) √80 - √125 + √500 = √2*2*5 - √5*5*5 + √10*10*5 = 2√5 - 5√5 + 10√5 = 7√5
d) √6 + √24 + √486 = √6 + √2*2*6 + √9*9*6 = √6 + 2√6 + 9√6 = 12√6
e) √28 - √175 + √252 = √2*2*7 - √5*5*7 + √6*6*7 = 2√7 - 5√7 + 6√7 = 3√7
f) √44 + √99 + √1100 = √2*2*11 + √3*3*11 + √10*10*11 = 2√11 + 3√11 + 10√11 = 15√11
Pozdrawiam ;)