What 2 square numbers subtract to make 1785?

What two square numbers subtract to make 1785? In other words, when you subtract one square number from another square number, the answer is 1785. 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 = 1785

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

43² - 8² = 1785

43² is 1849 and 8² is 64, therefore the answer to the question "What 2 square numbers subtract to make 1785?" is 1849 and 64 as illustrated below:

1849 - 64 = 1785

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 1785. Below we list alternate solutions if available.

2809 - 1024 = 1785
3721 - 1936 = 1785
4489 - 2704 = 1785

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