Anonymous
Anonymous asked in Science & MathematicsMathematics · 9 years ago

What is geometric mean?

What is the product of the geometric mean of 2 and 32 and the geometric mean of 1 and 4?

3 Answers

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  • Fred
    Lv 7
    9 years ago
    Favorite Answer

    The geometric mean of n numbers,

    a[1], ..., a[n],

    is the n-th root of the product of all n of them:

    GM(a[1], ..., a[n]) = (∏[j=1,n] a[j])^(1/n)

    For n = 2, this is

    GM(a, b) = √(ab)

    So

    GM(2, 32) = √(2*32) = √64 = 8

    GM(1, 4) = √(1*4) = √4 = 2

    So the product of the two GM's is

    8*2 = 16

  • 9 years ago

    Geometric mean equation= x=sqrt(AB)

    2and 32=sqrt 64=8

    1and 4=sqrt4=2

  • 9 years ago

    sqrt(2*32) = 8

    sqrt(1*4) = 2

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