What 2 square numbers subtract to make 1149?

What two square numbers subtract to make 1149? In other words, when you subtract one square number from another square number, the answer is 1149. 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 = 1149

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

193² - 190² = 1149

193² is 37249 and 190² is 36100, therefore the answer to the question "What 2 square numbers subtract to make 1149?" is 37249 and 36100 as illustrated below:

37249 - 36100 = 1149

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 1149. Below we list alternate solutions if available.

330625 - 329476 = 1149

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