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a) 5√12 - 2√48 - 7√75 = 5√4*3 - 2√16*3 - 7√25*3 = 10√3 - 8√3 - 35√3 = -33√3
b) 4√18 - 2√63 + √175 + 5√108 = 4√9*2 - 2√9*7 + √25*7 + 5√36*3= 12√2 - √7 + 30√3
c) 2∛24 - 3∛54 + ∛256 = 2∛8*3 - 3∛27*2 + ∛64*4 = 4∛3 - 6∛2 + 4∛4
d) ∛32 + 2∛108 - ∛500 = ∛8*4 + 2∛27*4 - ∛125*4 = 2∛4 + 6∛4 - 5∛4 = 3∛4
Ćw 7.
a) = 2
b) = 5
c) = 0,2
d) = 4
e) = 1/2
f) = 2/3
Ćw 9.
a) (√3 + 2√2)^2 = (√3)^2 + 2 * √3 * 2√2 + (2√2)^2 = 3 + 4√6 + 8 = 11 + 4√6
b) (3√2 - 2)^2 = (3√2)^2 - 2 * 3√2 * 2 + 2^2 = 18 - 12√2 + 4 = 22 - 12 √2
c) (2 + 4√5)(2 - 4√5) = 2^2 - (4√5)^2 = 4 - 80 = - 76
Liczę na najlepszą :)