What 2 square numbers subtract to make 5649?

What two square numbers subtract to make 5649? In other words, when you subtract one square number from another square number, the answer is 5649. 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 = 5649

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

145² - 124² = 5649

145² is 21025 and 124² is 15376, therefore the answer to the question "What 2 square numbers subtract to make 5649?" is 21025 and 15376 as illustrated below:

21025 - 15376 = 5649

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 5649. Below we list alternate solutions if available.

165649 - 160000 = 5649
889249 - 883600 = 5649

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