Respuesta :

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

  • a = 6
  • b = 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]

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