Odpowiedź:
6.
a)
(√17)² - (√24)² = 17 - 24 = -7
b)
-2 * (√5)² + √1 = -2 * 5 + 1 = -10 + 1 = -9
c)
(√1/3)² * √1/25 = 1/3 * 1/5 = 1/15
d)
-(∛7)³ + (∛23)³ = -7 + 23 = 16
e)
(∛4)³ + ∛125 : (-5) = 4 + 5 : (-5) = 4 - 1 = 3
f)
∛1/125 - (∛1/5)³ = 1/5 - 1/5 = 0
7.
a)
√(7 - √9) = √(7 - 3) = √4 = 2
b)
∛(10²+25) = ∛(100+25) = ∛125 = 5
c)
(∛27 + ∛0,027) : 1,1 = (3 + 0,3) : 1,1 = 3,3 : 1,1 = 3
d)
√(√16 + √64 : 3 + 2 1/3) = √(4 + 8 : 3 + 2 1/3) = √(4 + 2 2/3 + 2 1/3) =
= √(4 + 5) = √9 = 3
e)
√(30 - 5) + ∛(10²+25) = √25 + ∛125 = 5 + 5 = 10
f)
√144 - ∛64 : [(-3)² + (-1)³] = 12 - 4 : (9 - 1) = 12 - 4 : 8 = 12 - 1/2 = 11 1/2
8.
a)
√(256 : 16) = √16 = 4 = √256 : √16 = 16 : 4 = 4
b)
√(16*25) = √400 = 20 = √16 * √25 = 4 * 5 = 20
c)
√289 - √64 = 17 > √(289-64) = √225 = 15
d)
√400 + √225 = 20 + 15 = 35 > √(400+225) = √625 = 25
Szczegółowe wyjaśnienie:
