What 2 square numbers subtract to make 1764?

What two square numbers subtract to make 1764? In other words, when you subtract one square number from another square number, the answer is 1764. 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 = 1764

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

58² - 40² = 1764

58² is 3364 and 40² is 1600, therefore the answer to the question "What 2 square numbers subtract to make 1764?" is 3364 and 1600 as illustrated below:

3364 - 1600 = 1764

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 1764. Below we list alternate solutions if available.

4900 - 3136 = 1764
22500 - 20736 = 1764
195364 - 193600 = 1764

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