What 2 square numbers subtract to make 9712?

What two square numbers subtract to make 9712? In other words, when you subtract one square number from another square number, the answer is 9712. What are the two square numbers?

First, note that a square number is what you get when you multiply a number by itself, which means that the square root of a square number will equal a whole number. Thus, this is what we are solving:

A² - B² = 9712

We solved the equation above and found this to be true:

611² - 603² = 9712

611² is 373321 and 603² is 363609, therefore the answer to the question "What 2 square numbers subtract to make 9712?" is 373321 and 363609 as illustrated below:

373321 - 363609 = 9712

Note that there may be more than one solution to a problem like this. Above, we found the lowest combination of square numbers that subtract to 9712. Below we list alternate solutions if available.

What Two Square Numbers Subtract To Make Calculator
Enter another number here to find what two square numbers subtract to make that number.

What 2 square numbers subtract to make 9713?
Go here for the next problem on our list.