What 2 square numbers subtract to make 8235?

What two square numbers subtract to make 8235? In other words, when you subtract one square number from another square number, the answer is 8235. 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 = 8235

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

98² - 37² = 8235

98² is 9604 and 37² is 1369, therefore the answer to the question "What 2 square numbers subtract to make 8235?" is 9604 and 1369 as illustrated below:

9604 - 1369 = 8235

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 8235. Below we list alternate solutions if available.

12996 - 4761 = 8235
27556 - 19321 = 8235
79524 - 71289 = 8235

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What 2 square numbers subtract to make 8236?
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