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The geometric mean of two numbers is the square root of the product of the numbers.
x - the other number

[tex]\sqrt{6x}=\sqrt{6} \\ (\sqrt{6x})^2=(\sqrt{6})^2 \\ 6x=6 \\ x=\frac{6}{6} \\ x=1[/tex]

The other number is 1.

Answer: The value of another number is 6.

Step-by-step explanation:

Since we have given that

Geometric mean = √6

One number = 6

Let the another number be x

As we know the formula for "Geometric mean":

[tex]\sqrt{ab}=6\\\\ab=6^2\\\\6\times x=36\\\\x=\frac{36}{6}\\\\x=6[/tex]

Hence, the value of another number is 6.

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