What 2 square numbers subtract to make 1135?

What two square numbers subtract to make 1135? In other words, when you subtract one square number from another square number, the answer is 1135. 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 = 1135

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

116² - 111² = 1135

116² is 13456 and 111² is 12321, therefore the answer to the question "What 2 square numbers subtract to make 1135?" is 13456 and 12321 as illustrated below:

13456 - 12321 = 1135

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 1135. Below we list alternate solutions if available.

322624 - 321489 = 1135

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