Question

If the geometric mean between two number is 8 and one of the numbers is 2, what is the value of the other number?​

Answer 1

The other number that gives a geometric mean of 8 when paired with the number 2 is 32; this is found using the definition of the geometric mean and solving the equation derived from it.

Step-by-step explanation:

The question asks for the other number that, when combined with 2, would give a geometric mean of 8. The geometric mean between two numbers, say a and b, is the square root of their product (ab). If one number is 2 and the geometric mean is 8, we can set up the equation sqrt(2 × b) = 8. Squaring both sides gives 2b = 64, and dividing both sides by 2 gives b = 32. Therefore, the other number is 32.

Answer 2

Answer: 14

Step-by-step explanation: To find the mean you have to add the two numbers and divide by the amount of numbers (which is 2). 14 plus 2 is equal to 16. and 16 divided by two is equal to eight