What 2 square numbers subtract to make 3504?

What two square numbers subtract to make 3504? In other words, when you subtract one square number from another square number, the answer is 3504. 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 = 3504

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

85² - 61² = 3504

85² is 7225 and 61² is 3721, therefore the answer to the question "What 2 square numbers subtract to make 3504?" is 7225 and 3721 as illustrated below:

7225 - 3721 = 3504

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 3504. Below we list alternate solutions if available.

23104 - 19600 = 3504
49729 - 46225 = 3504
87025 - 83521 = 3504

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