# The product of 2 numbers is 8, what is the maximum sum of the 2 numbers? The product of two numbers is 8. Let one of the numbers be N, the other number is 8/N

The sum of the two numbers is S = N + 8/N

As the value of N is increased the value of 8/N decreases. But the sum of the two increases....

## See This Answer Now

Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

The product of two numbers is 8. Let one of the numbers be N, the other number is 8/N

The sum of the two numbers is S = N + 8/N

As the value of N is increased the value of 8/N decreases. But the sum of the two increases. For example N = 24, 8/N = 1/3, give the product 8 but the sum is 24+1/3. The value of N can be increased forever, as it tends to infinity 8/N tends to 0 and the resulting sum of the two tends to infinity.

There is no maximum value for the sum of the two numbers that have a product of 8, it tends to infinity.

Approved by eNotes Editorial Team