∛375 - ∛-192-∛-81 czwarty stopien z 2 - 4 stopien z 32 + 4 stopien z 162
∛375 - ∛-192-∛-81
czwarty stopien z 2 - 4 stopien z 32 + 4 stopien z 162
∛375 - ∛-192 -∛-81 =∛125*∛3 - ∛64*∛3-∛-27*∛3 = = 5∛3 - 4∛3 -(-3)∛3 = ∛3 + 3∛3 = 4∛3 2^(1/4) -32^(1/4) + 162^(1/4) = 2^(1/4) - 2*2^(1/4) +3*2^(1/4) = = 2*2^(1/4) = 2 pierwiastki 4 stopnia z 2.
∛375 - ∛-192-∛-81=5√15-4√3+9 ⁴√2-⁴√32+⁴√162=⁴√2-2⁴√2+3⁴√2=2⁴√2
∛375 - ∛-192 -∛-81 = =∛125*∛3 - ∛64*∛3+∛27*∛3 = = 5∛3 - 4∛3 +3∛3 = =∛3 + 3∛3 = =4∛3 ⁴√2 -⁴√32 +⁴√162 = =⁴√2- ⁴√2⁴* ⁴√2 +⁴√3⁴ * ⁴√2 = =⁴√2- 2* ⁴√2 +3* ⁴√2 = =2 ⁴√ 2