Odpowiedź:
Szczegółowe wyjaśnienie:
52.
a)
√5 * √8 = √5 * √4 * √2 = √5 * 2 * √2 = √5 * 2√2 = 2√10
b)
3√2 * 2√8 * √3 = 3√2 * 2 * 2√2 * √3 = 6√2 * 2√6 = 12√12 = 12 * 2√3 = 24√3
c)
7√2 * 0,1√12 = 7√2 * 0,1 * 2√3 = 0,7√2 * 2√3 = 1,4√6
d)
∛16 + ∛2 = ∛8 * ∛2 + ∛2 = 2 * ∛2 + ∛2 = 2∛2 + ∛2 = 3∛2
e)
2∛24 - 2∛3 = 2 * 2∛3 - 2∛3 = 4∛3 - 2∛3 = 2∛3
f)
-∛81 - ∛(-3) = -∛27 * ∛3 + ∛3 = -3 * ∛3 + ∛3 = -3∛3 + ∛3 = -2∛3
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Odpowiedź:
Szczegółowe wyjaśnienie:
52.
a)
√5 * √8 = √5 * √4 * √2 = √5 * 2 * √2 = √5 * 2√2 = 2√10
b)
3√2 * 2√8 * √3 = 3√2 * 2 * 2√2 * √3 = 6√2 * 2√6 = 12√12 = 12 * 2√3 = 24√3
c)
7√2 * 0,1√12 = 7√2 * 0,1 * 2√3 = 0,7√2 * 2√3 = 1,4√6
d)
∛16 + ∛2 = ∛8 * ∛2 + ∛2 = 2 * ∛2 + ∛2 = 2∛2 + ∛2 = 3∛2
e)
2∛24 - 2∛3 = 2 * 2∛3 - 2∛3 = 4∛3 - 2∛3 = 2∛3
f)
-∛81 - ∛(-3) = -∛27 * ∛3 + ∛3 = -3 * ∛3 + ∛3 = -3∛3 + ∛3 = -2∛3