What 2 square numbers subtract to make 1828?

What two square numbers subtract to make 1828? In other words, when you subtract one square number from another square number, the answer is 1828. 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 = 1828

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

458² - 456² = 1828

458² is 209764 and 456² is 207936, therefore the answer to the question "What 2 square numbers subtract to make 1828?" is 209764 and 207936 as illustrated below:

209764 - 207936 = 1828

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 1828. Below we list alternate solutions if available.

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