What 2 square numbers subtract to make 736?

What two square numbers subtract to make 736? In other words, when you subtract one square number from another square number, the answer is 736. 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 = 736

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

31² - 15² = 736

31² is 961 and 15² is 225, therefore the answer to the question "What 2 square numbers subtract to make 736?" is 961 and 225 as illustrated below:

961 - 225 = 736

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 736. Below we list alternate solutions if available.

2500 - 1764 = 736
8836 - 8100 = 736
34225 - 33489 = 736

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