The geometric mean of 6 and 8 is [tex]4\sqrt{3}[/tex]
The geometric mean of two numbers [tex]x_1[/tex] and [tex]x_2[/tex] is given by the formula:
[tex]GM = \sqrt{x_1 \times \ x_2}[/tex]
The two given numbers are 6 and 8
That is, [tex]x_1=6[/tex] and [tex]x_2=8[/tex]
Substitute [tex]x_1=6[/tex] and [tex]x_2=8[/tex] into the formula [tex]GM = \sqrt{x_1 \times \ x_2}[/tex]
[tex]GM=\sqrt{6 \times 8}[/tex]
Simplifying further:
[tex]GM=\sqrt{48} \\\\GM=4\sqrt{3}[/tex]
Therefore, the geometric mean of 6 and 8 is [tex]4\sqrt{3}[/tex]
Learn more on geometric mean here: https://brainly.com/question/1311687
