What 2 square numbers subtract to make 2360?

What two square numbers subtract to make 2360? In other words, when you subtract one square number from another square number, the answer is 2360. 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 = 2360

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

69² - 49² = 2360

69² is 4761 and 49² is 2401, therefore the answer to the question "What 2 square numbers subtract to make 2360?" is 4761 and 2401 as illustrated below:

4761 - 2401 = 2360

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 2360. Below we list alternate solutions if available.

15129 - 12769 = 2360
88209 - 85849 = 2360
349281 - 346921 = 2360

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