If √6 is the geometric mean between 6 and another number, then the number is:
1
2
6
I think it is 1, if not it is 6, but it definitely is not 2. Poka-out!
To find the number that makes √6 the geometric mean between 6 and another number, we need to first understand what a geometric mean is.
The geometric mean between two numbers, a and b, is the square root of their product: √(a * b).
Here, we are given that √6 is the geometric mean between 6 and another number.
Let's assume the unknown number is x.
So, according to the given information, √6 is the geometric mean between 6 and x. This can be written as:
√(6 * x) = √6
To solve for x, we need to square both sides of the equation:
(√(6 * x))^2 = (√6)^2
Simplifying, we have:
6 * x = 6
Dividing both sides of the equation by 6, we find:
x = 1
Therefore, the number that makes √6 the geometric mean between 6 and another number is 1.