What 2 square numbers subtract to make 3736?

What two square numbers subtract to make 3736? In other words, when you subtract one square number from another square number, the answer is 3736. 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 = 3736

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

469² - 465² = 3736

469² is 219961 and 465² is 216225, therefore the answer to the question "What 2 square numbers subtract to make 3736?" is 219961 and 216225 as illustrated below:

219961 - 216225 = 3736

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 3736. Below we list alternate solutions if available.

874225 - 870489 = 3736

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