What 2 square numbers subtract to make 1756?

What two square numbers subtract to make 1756? In other words, when you subtract one square number from another square number, the answer is 1756. 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 = 1756

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

440² - 438² = 1756

440² is 193600 and 438² is 191844, therefore the answer to the question "What 2 square numbers subtract to make 1756?" is 193600 and 191844 as illustrated below:

193600 - 191844 = 1756

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 1756. Below we list alternate solutions if available.

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