What 2 square numbers subtract to make 5739?

What two square numbers subtract to make 5739? In other words, when you subtract one square number from another square number, the answer is 5739. 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 = 5739

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

958² - 955² = 5739

958² is 917764 and 955² is 912025, therefore the answer to the question "What 2 square numbers subtract to make 5739?" is 917764 and 912025 as illustrated below:

917764 - 912025 = 5739

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 5739. Below we list alternate solutions if available.

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