Gretchen computed the geometric mean of two numbers. One of the numbers was 7 and the geometric mean turned out to be 7 as well. The o

Gretchen computed the geometric mean of two numbers. One of the
numbers was 7 and the geometric mean turned out to be 7 as well. The other number
would be ?

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  1. 9514 1404 393

    Answer:

      7

    Step-by-step explanation:

    When the mean of two numbers is the same as one of the numbers, then the other number also has that same value. This is true for any kind of mean:

    arithmetic, geometric, harmonic.

    The other number would be 7.

    __

    The geometric mean (m) of a and b is …

      m = √(ab)

    We have …

      7 = √(7b)

      49 = 7b . . . . . square both sides

      7 = b . . . . . . . .divide by 7

    a = b = m = 7 in this case.

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