What 2 square numbers subtract to make 7317?

What two square numbers subtract to make 7317? In other words, when you subtract one square number from another square number, the answer is 7317. 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 = 7317

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

149² - 122² = 7317

149² is 22201 and 122² is 14884, therefore the answer to the question "What 2 square numbers subtract to make 7317?" is 22201 and 14884 as illustrated below:

22201 - 14884 = 7317

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 7317. Below we list alternate solutions if available.

168921 - 161604 = 7317

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