Solution:
Given that,
We have to find the geometric mean of 5 and 7
The geometric mean of two numbers a and b is the square root of product of a and b
Which means,
[tex]Geometric\ mean = \sqrt{ab}[/tex]
[tex]Geometric\ mean = \sqrt{5 \times 7}\\\\Geometric\ mean = \sqrt{35}\\\\Geometric\ mean = 5.9161[/tex]
Thus geometric mean of 5 and 7 is 5.9161