What 2 square numbers subtract to make 997?

What two square numbers subtract to make 997? In other words, when you subtract one square number from another square number, the answer is 997. 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 = 997

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

499² - 498² = 997

499² is 249001 and 498² is 248004, therefore the answer to the question "What 2 square numbers subtract to make 997?" is 249001 and 248004 as illustrated below:

249001 - 248004 = 997

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 997. 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 998?
Go here for the next problem on our list.