What 2 square numbers subtract to make 1859?

What two square numbers subtract to make 1859? In other words, when you subtract one square number from another square number, the answer is 1859. 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 = 1859

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

78² - 65² = 1859

78² is 6084 and 65² is 4225, therefore the answer to the question "What 2 square numbers subtract to make 1859?" is 6084 and 4225 as illustrated below:

6084 - 4225 = 1859

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 1859. Below we list alternate solutions if available.

8100 - 6241 = 1859
864900 - 863041 = 1859

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