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a) √27 * √3 = √81 = 9
b) ∛125 : ∛8 = 5 : 2 = 2,5
c) ∛27 * 64 = 3 * 64 = 192
d) ∛25*∛5 = ∛125 = 5
Zad.2
a) ( 2x² + y do potęgi 5)² = 4x do potęgi 4 + y do potęgi 10
b) ( 4x - y)² = 16x do potęgi drugiej - y do potęgi 2
c) ( 2 + 3√5)² = 4 + 9 * 5 = 49
d) ( 4 - 2√2)² = 16 - 4 * 2 = 8
a) √27 * √3 = √81 = 9
b) ∛125 : 8 = 5 : 8 = 5/8
c) ∛27 * 64 = 3 * 64 = 192
d) ∛25*∛5 = ∛125 = 5
2.
a) (2x²+y⁵)² = 4x⁴ + 2x²y⁵ + y²⁵
b) (4x-y)² = 16x² - 8xy + y²
c) (2+3√5)² = 4 + 2*2*√45 + √45² = 4+4√45 + 45 = 49 + 4√45
d) (4-2√2)² = 16 - 2*4*√8 + √8² = 16 - 8√8 + 8 = 24 - 8√8