What 2 square numbers subtract to make 1755?

What two square numbers subtract to make 1755? In other words, when you subtract one square number from another square number, the answer is 1755. 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 = 1755

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

42² - 3² = 1755

42² is 1764 and 3² is 9, therefore the answer to the question "What 2 square numbers subtract to make 1755?" is 1764 and 9 as illustrated below:

1764 - 9 = 1755

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 1755. Below we list alternate solutions if available.

2116 - 361 = 1755
4356 - 2601 = 1755
5476 - 3721 = 1755

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