Question

If √6 is the geometric mean between 6 and another number, then the number is
____.

Answer 1

to find the geometric mean of 2 numbers, multiply them and take the square root

one number is x
the other is 6
the mean is√6

so
6 times x=6x
√(6x)=√6
what is x?
square both sides
6x=6
divide both sides by 6
x=1

the other number is 1

Answer 2

Then the other number should be 1