What 2 square numbers subtract to make 1095?

What two square numbers subtract to make 1095? In other words, when you subtract one square number from another square number, the answer is 1095. 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 = 1095

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

44² - 29² = 1095

44² is 1936 and 29² is 841, therefore the answer to the question "What 2 square numbers subtract to make 1095?" is 1936 and 841 as illustrated below:

1936 - 841 = 1095

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 1095. Below we list alternate solutions if available.

12544 - 11449 = 1095
33856 - 32761 = 1095
300304 - 299209 = 1095

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What 2 square numbers subtract to make 1096?
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