Odpowiedź:
Szczegółowe wyjaśnienie:
a) 2 √3 / 3 √6 = 2 √3 * √6 / 3 √6 * √6 = 2 √18 / 3 * 6 = 2 √9 * √2 / 18 = 2 * 3 * √2 / 18 = 6 √2 / 18 = √2 / 3
b) 4√6 / 9 √12 = 4 √6 * √12 / 9 √12 * √12 = 4 √72 / 9 * 12 = 4 √36 * √2 / 108 =
= 4 * 6 * √2 / 108 = 24√2 / 108 = 12 √2 / 54 = 6 √2 / 27
c) 5 / ∛2 = 5 * ∛2 * ∛2 / ∛2 * ∛2 * ∛2 = 5 ∛4 / 2
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Odpowiedź:
Szczegółowe wyjaśnienie:
a) 2 √3 / 3 √6 = 2 √3 * √6 / 3 √6 * √6 = 2 √18 / 3 * 6 = 2 √9 * √2 / 18 = 2 * 3 * √2 / 18 = 6 √2 / 18 = √2 / 3
b) 4√6 / 9 √12 = 4 √6 * √12 / 9 √12 * √12 = 4 √72 / 9 * 12 = 4 √36 * √2 / 108 =
= 4 * 6 * √2 / 108 = 24√2 / 108 = 12 √2 / 54 = 6 √2 / 27
c) 5 / ∛2 = 5 * ∛2 * ∛2 / ∛2 * ∛2 * ∛2 = 5 ∛4 / 2