Geometric Mean between two positive real numbers a and b is ……….​

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Geometric Mean between two positive real numbers a and b is ……….​

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Vivian 1 week 2021-09-14T12:59:56+00:00 2 Answers 0 views 0

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    0
    2021-09-14T13:01:05+00:00

    The geometric mean between two positive real numbers a and b is √(a×b).

    • Geometric mean is the average form, where two numbers are subtracted and the product’s square root is equal to the geometric mean.
    • If there are three numbers, then all the three numbers are added and the product’s cube root is calculated to find out the geometric mean.
    • It can be calculated as –

    let the geometric mean between a and b be = x

    Thus, a : x = x : b  = a / x = x / b

    = x² = ab

    x = √ab

    0
    2021-09-14T13:01:23+00:00

    Answer:

    Hence , the geometric mean is ab 1/2.

    Step-by-step explanation:

    Let , the geometric mean of a and b be X..

    So, a : x = x : b ( cross multiplication)..

    => a/ x = x / b

    => = ab

    => x = ab

    => x = ab 1/2...

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