What 2 square numbers subtract to make 1732?

What two square numbers subtract to make 1732? In other words, when you subtract one square number from another square number, the answer is 1732. 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 = 1732

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

434² - 432² = 1732

434² is 188356 and 432² is 186624, therefore the answer to the question "What 2 square numbers subtract to make 1732?" is 188356 and 186624 as illustrated below:

188356 - 186624 = 1732

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 1732. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 1733?
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