What 2 square numbers subtract to make 1515?

What two square numbers subtract to make 1515? In other words, when you subtract one square number from another square number, the answer is 1515. 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 = 1515

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

58² - 43² = 1515

58² is 3364 and 43² is 1849, therefore the answer to the question "What 2 square numbers subtract to make 1515?" is 3364 and 1849 as illustrated below:

3364 - 1849 = 1515

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 1515. Below we list alternate solutions if available.

23716 - 22201 = 1515
64516 - 63001 = 1515
574564 - 573049 = 1515

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