What 2 square numbers subtract to make 3515?

What two square numbers subtract to make 3515? In other words, when you subtract one square number from another square number, the answer is 3515. 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 = 3515

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

66² - 29² = 3515

66² is 4356 and 29² is 841, therefore the answer to the question "What 2 square numbers subtract to make 3515?" is 4356 and 841 as illustrated below:

4356 - 841 = 3515

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 3515. Below we list alternate solutions if available.

10404 - 6889 = 3515
125316 - 121801 = 3515

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