What 2 square numbers subtract to make 3732?

What two square numbers subtract to make 3732? In other words, when you subtract one square number from another square number, the answer is 3732. 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 = 3732

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

314² - 308² = 3732

314² is 98596 and 308² is 94864, therefore the answer to the question "What 2 square numbers subtract to make 3732?" is 98596 and 94864 as illustrated below:

98596 - 94864 = 3732

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 3732. Below we list alternate solutions if available.

872356 - 868624 = 3732

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