Answer:
The geometric mean between 6 and 10 will be:
[tex]G.M=2\sqrt{15}[/tex]
Step-by-step explanation:
We know that the geometric mean between the two numbers 'a' and 'b' is defined as:
[tex]G.M=\sqrt{a\times b}[/tex]
Now, let us determine the geometric mean between 6 and 10
Using the formula
[tex]G.M=\sqrt{a\times b}[/tex]
[tex]G.M=\sqrt{6\times 10}[/tex]
[tex]=\sqrt{60}[/tex]
[tex]=\:\sqrt{4\times 15}[/tex]
[tex]=2\sqrt{15}[/tex]
Therefore, the geometric mean between 6 and 10 will be:
[tex]G.M=2\sqrt{15}[/tex]