Question

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Answer 1

Răspuns:

Explicație pas cu pas:

Mg = √(a×b) -> media geometrica a doua numere pozitive a si b

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a) a = 6√2 si b = 3√2

a × b = 6√2 × 3√2 = 18√4 = 18×2 = 36

Mg = √(a×b) = √36 = 6

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b)   a = 3√15   si b = 5√15

a × b = 3√15 × 5√15 = 15 × 15 = 15²

Mg(a,b) = √(a×b) = √(15²) = 15

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c)    a = √3 + √12 = √3+2√3 = 3√3

      b = √48 - √3 = 4√3 - √3 = 3√3

√48 = √(16×3) = 4√3

a × b = 3√3 × 3√3 = 9×3 = 27

Mg = √(a×b) = √27 = √(3²×3) = 3√3

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d)   a = √98 + √32 - √50 = 7√2 + 4√2 - 5√2 =>   a = 6√2

      b = √162 - √72 = 9√2 - 6√2   =>     b = 3√2

a × b = 6√2 × 3√2 = 18×2 =36

Mg = √(a×b) = √36 = √(6²) = 6