What 2 square numbers subtract to make 5253?

What two square numbers subtract to make 5253? In other words, when you subtract one square number from another square number, the answer is 5253. 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 = 5253

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

77² - 26² = 5253

77² is 5929 and 26² is 676, therefore the answer to the question "What 2 square numbers subtract to make 5253?" is 5929 and 676 as illustrated below:

5929 - 676 = 5253

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 5253. Below we list alternate solutions if available.

26569 - 21316 = 5253
769129 - 763876 = 5253

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