What 2 square numbers subtract to make 2553?

What two square numbers subtract to make 2553? In other words, when you subtract one square number from another square number, the answer is 2553. 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 = 2553

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

53² - 16² = 2553

53² is 2809 and 16² is 256, therefore the answer to the question "What 2 square numbers subtract to make 2553?" is 2809 and 256 as illustrated below:

2809 - 256 = 2553

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 2553. Below we list alternate solutions if available.

4489 - 1936 = 2553
182329 - 179776 = 2553

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