Question

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

Answer 1

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`