What 2 square numbers subtract to make 1053?

What two square numbers subtract to make 1053? In other words, when you subtract one square number from another square number, the answer is 1053. 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 = 1053

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

33² - 6² = 1053

33² is 1089 and 6² is 36, therefore the answer to the question "What 2 square numbers subtract to make 1053?" is 1089 and 36 as illustrated below:

1089 - 36 = 1053

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 1053. Below we list alternate solutions if available.

2209 - 1156 = 1053
3969 - 2916 = 1053
31329 - 30276 = 1053

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