What 2 square numbers subtract to make 7553?

What two square numbers subtract to make 7553? In other words, when you subtract one square number from another square number, the answer is 7553. 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 = 7553

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

87² - 4² = 7553

87² is 7569 and 4² is 16, therefore the answer to the question "What 2 square numbers subtract to make 7553?" is 7569 and 16 as illustrated below:

7569 - 16 = 7553

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 7553. Below we list alternate solutions if available.

88209 - 80656 = 7553
294849 - 287296 = 7553

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