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zadania
1,2,3 pomocy ...
1. a) √12 = √4 * √3 = 2√3
b) √50 = √25 * √2 = 5√2
c) √72 = √36 * √2 = 6√2
d) √125 = √25 * √5 = 5√5
e) √90 = √9 * √10 = 3√10
f) √8 = √4 * √2 = 2√2
g) √27 = √9 * √3 = 3√3
h) √52 = √4 * √13 = 2√13
i) √24 = √4 * √6 = 2√6
j) √48 = √4 * √12 = √4 * √4 * √3 = 2 * 2 * √3 = 4√3
k) √200 = √100 * √2 = 10√2
l) √75 = √25 * √3 = 5√3
m) √120 = √4 * √30 = 2√30
n) √80 = √4 * √20 = √4 * √4 * √5 = 4√5
o) √800 = √400 * √ 2 = 20√2
p) √300 = √100 * √3 = 10√3
Zad. 2
a) √1000 = √100 * √10 = 10√10
b) √300 = √100 * √3 = 10√3
c) √242 = 11√2
d) √550 = 5√22
e) √8/9 = √(4 * 2)/9 = 2/3√2
f) √2 2/5 = √ 12/5 = √ (4 * 3)/5 = 2√3/5
g) √3/4 = 1/2√3
h) √1 3/16 = √19/16 = 1/4√19
i) √18/25 = √(9*2)/25 = 3/5√2
j) √2 10/49 = √59/49 = 1/7√59
k) √2 2/9 = √20/9 = √(4*5)/9 = 2/9√5
l) √1 3/25 = √28/25 = √(4*7)/25 = 2/5√7
m) √50/81 = √(25*2)/81 = 5/9√2
n) √27/100 = √(9*3)/100 = 3/10√3
o) √4 4/9 = √40/9 = √(4*10)/9 = 2/3√10
p) √1 11/25 = √36/25 = 6/5 = 1 1/5
Zad. 3
a) ∛81 = ∛27*3 = 3∛3
b) ∛250 = ∛125 * ∛2 = 5∛2
c) ∛54 = ∛27 * ∛2 = 3∛2
d) ∛24 = ∛8 * ∛3 = 2∛3
e) ∛375 = ∛3 * ∛125 = 5∛3
f) ∛135 = ∛3 * ∛5 * ∛9 = 3∛5
g) ∛128 = ∛4 * ∛16 * ∛2 = 2∛16
h) ∛3000 = ∛1000 * ∛3 = 10∛3
i) ∛48 = ∛24 * ∛2 = ∛8 *∛3 * ∛2 = 2∛6
j) ∛1 5/8 = ∛13/8 = 1/2∛13
k) ∛4 4/9 = ∛40/9 = 2∛5/9
l) ∛2 2/27 = ∛56/27 = ∛(8*7)/27 = 2/3∛7
m) ∛1 17/64 = ∛81/64 = ∛ (3* 27)/ 64 = 3/4∛3
n) ∛-54 = ∛-27 * ∛2 = -3∛2
o) ∛16/27 = ∛(8*2)/27 = 2/3∛2
p) ∛10 1/8 = ∛81/8 = ∛(27*3)/8 = 3/2∛3 = 1,5∛3
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1. a) √12 = √4 * √3 = 2√3
b) √50 = √25 * √2 = 5√2
c) √72 = √36 * √2 = 6√2
d) √125 = √25 * √5 = 5√5
e) √90 = √9 * √10 = 3√10
f) √8 = √4 * √2 = 2√2
g) √27 = √9 * √3 = 3√3
h) √52 = √4 * √13 = 2√13
i) √24 = √4 * √6 = 2√6
j) √48 = √4 * √12 = √4 * √4 * √3 = 2 * 2 * √3 = 4√3
k) √200 = √100 * √2 = 10√2
l) √75 = √25 * √3 = 5√3
m) √120 = √4 * √30 = 2√30
n) √80 = √4 * √20 = √4 * √4 * √5 = 4√5
o) √800 = √400 * √ 2 = 20√2
p) √300 = √100 * √3 = 10√3
Zad. 2
a) √1000 = √100 * √10 = 10√10
b) √300 = √100 * √3 = 10√3
c) √242 = 11√2
d) √550 = 5√22
e) √8/9 = √(4 * 2)/9 = 2/3√2
f) √2 2/5 = √ 12/5 = √ (4 * 3)/5 = 2√3/5
g) √3/4 = 1/2√3
h) √1 3/16 = √19/16 = 1/4√19
i) √18/25 = √(9*2)/25 = 3/5√2
j) √2 10/49 = √59/49 = 1/7√59
k) √2 2/9 = √20/9 = √(4*5)/9 = 2/9√5
l) √1 3/25 = √28/25 = √(4*7)/25 = 2/5√7
m) √50/81 = √(25*2)/81 = 5/9√2
n) √27/100 = √(9*3)/100 = 3/10√3
o) √4 4/9 = √40/9 = √(4*10)/9 = 2/3√10
p) √1 11/25 = √36/25 = 6/5 = 1 1/5
Zad. 3
a) ∛81 = ∛27*3 = 3∛3
b) ∛250 = ∛125 * ∛2 = 5∛2
c) ∛54 = ∛27 * ∛2 = 3∛2
d) ∛24 = ∛8 * ∛3 = 2∛3
e) ∛375 = ∛3 * ∛125 = 5∛3
f) ∛135 = ∛3 * ∛5 * ∛9 = 3∛5
g) ∛128 = ∛4 * ∛16 * ∛2 = 2∛16
h) ∛3000 = ∛1000 * ∛3 = 10∛3
i) ∛48 = ∛24 * ∛2 = ∛8 *∛3 * ∛2 = 2∛6
j) ∛1 5/8 = ∛13/8 = 1/2∛13
k) ∛4 4/9 = ∛40/9 = 2∛5/9
l) ∛2 2/27 = ∛56/27 = ∛(8*7)/27 = 2/3∛7
m) ∛1 17/64 = ∛81/64 = ∛ (3* 27)/ 64 = 3/4∛3
n) ∛-54 = ∛-27 * ∛2 = -3∛2
o) ∛16/27 = ∛(8*2)/27 = 2/3∛2
p) ∛10 1/8 = ∛81/8 = ∛(27*3)/8 = 3/2∛3 = 1,5∛3