ile to jest? ⁶√2 : ³√4 = ?
( to jest pierwiastek szóstego stopnia z 2 dzielone na pierwiastek trzeciego stopna z 4)
⁶√2 : ³√4 = 2¹/⁶ : 4¹/³ = 2¹/⁶ : (2²)¹/³ = 2¹/⁶ : 2²/³ = 2 ¹/⁶ ⁻⁴/⁶ = 2⁻¹/² =
= (1/2)¹/² = √(1/2) = √1/√2 =1/√2= √2/2
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⁶√2 : ³√4 = 2¹/⁶ : 4¹/³ = 2¹/⁶ : (2²)¹/³ = 2¹/⁶ : 2²/³ = 2 ¹/⁶ ⁻⁴/⁶ = 2⁻¹/² =
= (1/2)¹/² = √(1/2) = √1/√2 =1/√2= √2/2