Find the geometric mean between each pair of numbers.5 and 20

Tjsmith asked Jul 2, 2023

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Tjsmith asked Jul 2, 2023

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19 votes

The geometric mean of a set with n elements is given by

$g=\sqrt[n]{x_1\cdot x_2\cdot...\cdot x_n}$

In our problem, we have only two elements, therefore, we have n = 2. The geometric mean between 5 and 20 is

$g=\sqrt[]{5\cdot20}=\sqrt[]{100}=10$

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