What 2 square numbers subtract to make 7569?

What two square numbers subtract to make 7569? In other words, when you subtract one square number from another square number, the answer is 7569. 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 = 7569

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

145² - 116² = 7569

145² is 21025 and 116² is 13456, therefore the answer to the question "What 2 square numbers subtract to make 7569?" is 21025 and 13456 as illustrated below:

21025 - 13456 = 7569

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 7569. Below we list alternate solutions if available.

180625 - 173056 = 7569

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