Question

Find the geometric mean of the pair numbers 6 and 10

Answer 1

The geometric mean between 6 and 10 will be:

`G.M=2√(15)`

Explanation:

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

`G.M=√(a* b)`

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

• a = 6

• b = 10

Using the formula

`G.M=√(a* b)`

`G.M=√(6* 10)`

`=√(60)`

`=\:√(4* 15)`

`=2√(15)`

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

`G.M=2√(15)`