What 2 square numbers subtract to make 3553?

What two square numbers subtract to make 3553? In other words, when you subtract one square number from another square number, the answer is 3553. 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 = 3553

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

103² - 84² = 3553

103² is 10609 and 84² is 7056, therefore the answer to the question "What 2 square numbers subtract to make 3553?" is 10609 and 7056 as illustrated below:

10609 - 7056 = 3553

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 3553. Below we list alternate solutions if available.

12769 - 9216 = 3553
27889 - 24336 = 3553

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