Question

If √6 is the geometric mean between 6 and another number, then the number is 1 2 6

Answer 1

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

$\sqrt{6x}=\sqrt{6} \\ (\sqrt{6x})^2=(\sqrt{6})^2 \\ 6x=6 \\ x=\frac{6}{6} \\ x=1$

The other number is 1.

Answer 2

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":

$\sqrt{ab}=6\\\\ab=6^2\\\\6\times x=36\\\\x=\frac{36}{6}\\\\x=6$

Hence, the value of another number is 6.