What 2 square numbers subtract to make 1151?

What two square numbers subtract to make 1151? In other words, when you subtract one square number from another square number, the answer is 1151. 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 = 1151

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

576² - 575² = 1151

576² is 331776 and 575² is 330625, therefore the answer to the question "What 2 square numbers subtract to make 1151?" is 331776 and 330625 as illustrated below:

331776 - 330625 = 1151

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 1151. Below we list alternate solutions if available.

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