What 2 square numbers subtract to make 5345?

What two square numbers subtract to make 5345? In other words, when you subtract one square number from another square number, the answer is 5345. 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 = 5345

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

537² - 532² = 5345

537² is 288369 and 532² is 283024, therefore the answer to the question "What 2 square numbers subtract to make 5345?" is 288369 and 283024 as illustrated below:

288369 - 283024 = 5345

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 5345. Below we list alternate solutions if available.

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