Odpowiedź:
17.
a)
√(3/7)² = 3/7
b)
(√13)² = 13
c)
√15 * √15 = 15
d)
(√1,3)² = 1,3
e)
∛5³ = 5
f)
(∛7)³ = 7
g)
∛9 * ∛9 * ∛9 = 9
h)
(-∛2)³ = -2
18.
a)
4(√3)² = 4 * 3 = 12
b)
(2√2)² = 4 * 2 = 8
c)
√7 * 3√7 = 3 * 7 = 21
d)
2√3 * 5√3 = 10 * 3 = 30
e)
(2√5/5)² = 4/25 * 5 = 4/5
f)
(2/3√6)² = 4/9 * 6 = 4/3 * 2 = 8/3 = 2 2/3
g)
(-0,1√10)² = 0,01 * 10 = 0,1
h)
-3√15 * 2√15 = -6 * 15 = -90
19.
a)
(1/2∛12)³ = 1/8 * 12 = 1/2 * 3 = 3/2 = 1 1/2
b)
(-2∛1/4)³ = -8 * 1/64 = -1/8
c)
(-10∛0,1)³ = -1000 * 0,1 = -100
d)
3∛7 * 2(∛7)² = 6 * 7 - 42
e)
5(∛-6)² * 4∛6 = 20 * 6 = 120
f)
(-7∛-2)² * ∛-2 = 49 * (∛-2) * ∛-2 = 49 * (∛-2)³ = -49 * 2 = -98
Szczegółowe wyjaśnienie:
