What 2 square numbers subtract to make 5633?

What two square numbers subtract to make 5633? In other words, when you subtract one square number from another square number, the answer is 5633. 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 = 5633

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

87² - 44² = 5633

87² is 7569 and 44² is 1936, therefore the answer to the question "What 2 square numbers subtract to make 5633?" is 7569 and 1936 as illustrated below:

7569 - 1936 = 5633

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 5633. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 5634?
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