Odpowiedź:
a)
3/√ = 3/√7 * √7/√7 = 3/7√7
b)
4/√8 = 4/√8 * √8/√8 = 4√8/8 = 1/2√8 = 1/2√(2*4) = √2
c)
36/√3 = 36/√3 * √3/√3 = 36√3/3 = 12√3
d)
5/(2√5) = 5/(2√5) * √5/√5 = 5/2√5/5 = 1/2√5
2.
a)
∛-16 = ∛(-8*2) = -2∛2
b)
∛20 = ∛[-8*(-5/2)] = -2∛-5/2
c)
∛4,8 = ∛[-8(-0,6)] = -2∛-0,6
3.
a)
∛64 = 4
b)
∛0,001 = 0,1
c)
∛(-3 3/8) = ∛-27/8 = -3/2 = -1 1/2
d)
∛-125 = - 5
4.
a)
∛16 * ∛4 = ∛64 = 4
b)
∛-64/∛27 = -4/3 = -1 1/3
5.
√9/25 * √25/36 + (√361)² - 4√0,49 * √100 =
= √(9/25 * 25/36) + 361 - 4 * 0,7 * 10 = √1/4 + 361 - 4 * 7 =
= 1/2 + 361 - 28 = 1/2 + 333 = 333 1/2
Szczegółowe wyjaśnienie:
