What 2 square numbers subtract to make 3507?

What two square numbers subtract to make 3507? In other words, when you subtract one square number from another square number, the answer is 3507. 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 = 3507

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

94² - 73² = 3507

94² is 8836 and 73² is 5329, therefore the answer to the question "What 2 square numbers subtract to make 3507?" is 8836 and 5329 as illustrated below:

8836 - 5329 = 3507

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 3507. Below we list alternate solutions if available.

64516 - 61009 = 3507
343396 - 339889 = 3507

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