What 2 square numbers subtract to make 7515?

What two square numbers subtract to make 7515? In other words, when you subtract one square number from another square number, the answer is 7515. 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 = 7515

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

106² - 61² = 7515

106² is 11236 and 61² is 3721, therefore the answer to the question "What 2 square numbers subtract to make 7515?" is 11236 and 3721 as illustrated below:

11236 - 3721 = 7515

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 7515. Below we list alternate solutions if available.

66564 - 59049 = 7515
178084 - 170569 = 7515
568516 - 561001 = 7515

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