What 2 square numbers subtract to make 5823?

What two square numbers subtract to make 5823? In other words, when you subtract one square number from another square number, the answer is 5823. 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 = 5823

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

328² - 319² = 5823

328² is 107584 and 319² is 101761, therefore the answer to the question "What 2 square numbers subtract to make 5823?" is 107584 and 101761 as illustrated below:

107584 - 101761 = 5823

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 5823. Below we list alternate solutions if available.

944784 - 938961 = 5823

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