What 2 square numbers subtract to make 5757?

What two square numbers subtract to make 5757? In other words, when you subtract one square number from another square number, the answer is 5757. 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 = 5757

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

79² - 22² = 5757

79² is 6241 and 22² is 484, therefore the answer to the question "What 2 square numbers subtract to make 5757?" is 6241 and 484 as illustrated below:

6241 - 484 = 5757

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 5757. Below we list alternate solutions if available.

25921 - 20164 = 5757
923521 - 917764 = 5757

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