What 2 square numbers subtract to make 7376?

What two square numbers subtract to make 7376? In other words, when you subtract one square number from another square number, the answer is 7376. 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 = 7376

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

465² - 457² = 7376

465² is 216225 and 457² is 208849, therefore the answer to the question "What 2 square numbers subtract to make 7376?" is 216225 and 208849 as illustrated below:

216225 - 208849 = 7376

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 7376. Below we list alternate solutions if available.

853776 - 846400 = 7376

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