What 2 square numbers subtract to make 5736?

What two square numbers subtract to make 5736? In other words, when you subtract one square number from another square number, the answer is 5736. 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 = 5736

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

245² - 233² = 5736

245² is 60025 and 233² is 54289, therefore the answer to the question "What 2 square numbers subtract to make 5736?" is 60025 and 54289 as illustrated below:

60025 - 54289 = 5736

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 5736. Below we list alternate solutions if available.

231361 - 225625 = 5736
516961 - 511225 = 5736

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