What 2 square numbers subtract to make 9972?

What two square numbers subtract to make 9972? In other words, when you subtract one square number from another square number, the answer is 9972. 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 = 9972

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

286² - 268² = 9972

286² is 81796 and 268² is 71824, therefore the answer to the question "What 2 square numbers subtract to make 9972?" is 81796 and 71824 as illustrated below:

81796 - 71824 = 9972

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 9972. Below we list alternate solutions if available.

695556 - 685584 = 9972

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 9973?
Go here for the next problem on our list.