Odpowiedź:
1.
a)
√64 = 8
b)
∛64 = 4
c)
√1,69 = 1,3
d)
√16/49 = 4/7
e)
∛8/125 = 2/5
f)
∛(3 3/8) = ∛27/8 = 3/2 = 1 1/2
g)
√(-2)² = √4 = 2
h)
∛7 * ∛7 * ∛7 = 7
i)
∛(-5)³ = -5
2.
a)
√36 + √81 + √10000 = 100
b)
√1,21 + ∛0,008 - √0,81 = 1,1 + 0,2 - 0,9 = 0,2 + 0,2
c)
√9/25 - 2√(12 1/4) + √2 * √2 = 3/5 - 2√49/4 + 2 = 3/5 - 2 * 7/2 + 2 =
= 3/5 - 7 + 2 = 3/5 - 5 = -4 2/5
d)
(5√2 - 3)(5 + 3√2) = 25√2 + 15 * 2 - 15 - 9√2 = 16√2 + 15
e)
(4√3 - 1)(4√3 + 1) = 16 * 3 + 4√3 - 4√3 - 1 = 48 - 1 = 47
f)
√3(2 - 2√3) - (2 + √3)(√3 + 3) = 2√3 - 2 * 3 - (2√3 + 6 + 3 + 3√3) =
= 2√3 - 6 - 5√3 - 9 = -3√3 - 15
3.
1. √400 + √16 - √121 = 20 + 4 - 11 = 24 - 11 = 13 √169 = 13 P
2. √36 + √64 = 6 + 8 = 14 √100 = 10 F
3. ∛1000 - ∛64 = 10 - 4 = 6 > √121 = 11 F
4. √4 + √9 + √16 = 2 + 3 + 4 = 9 < 11 P
∛125 - ∛-216 = 5 + 6 = 11
Szczegółowe wyjaśnienie:
