Question

Find the geometric mean of the pair numbers 6 and 10

Answer 1

Answer:

The geometric mean between 6 and 10 will be:

$G.M=2\sqrt{15}$

Step-by-step explanation:

We know that the geometric mean between the two numbers 'a' and 'b' is defined as:

$G.M=\sqrt{a\times b}$

Now, let us determine the geometric mean between 6 and 10

• a = 6

• b = 10

Using the formula

$G.M=\sqrt{a\times b}$

$G.M=\sqrt{6\times 10}$

        $=\sqrt{60}$

        $=\:\sqrt{4\times 15}$

        $=2\sqrt{15}$

 Therefore, the geometric mean between 6 and 10 will be:

$G.M=2\sqrt{15}$