Răspuns:
B = {√(2⁵ ) ; √(7³) ; √(8¹¹)}
Explicație pas cu pas:
A = {15² ; 2⁵ ; 3⁶ ; 4⁷ ; 7³ ; 2⁴ ; (-3)² ; 8¹¹ ; (-5)²}
B = {√a ; a ∈ A ; √a ∈ R-Q}
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√(15²) = 15 ∈ N , Z , Q , R
√(2⁵ ) = 2√2 ∈ R-Q
√(3⁶) = 3⁶⁽² = 3³ = 27 ∈ N , Z , Q , R
√(4⁷) = √[(2²)⁷] = √(2¹⁴) = 2¹⁴⁽² = 2⁷ ∈ N , Z , Q , R
√(7³) = 7√7 ∈ R-Q
√(2⁴) = 2² = 4 ∈ N , Z , Q , R
√[(-3)²] = √9 = 3 ∈ N , Z , Q , R
√(8¹¹) = √[(2³)¹¹] = √(2³³) = 2¹⁶√2 ∈ R-Q
√[(-5)²] = √25 = 5 ∈ N , Z , Q , R
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B = {√(2⁵ ) ; √(7³) ; √(8¹¹)}
#copaceibrainly
