What 2 square numbers subtract to make 7623?

What two square numbers subtract to make 7623? In other words, when you subtract one square number from another square number, the answer is 7623. 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 = 7623

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

88² - 11² = 7623

88² is 7744 and 11² is 121, therefore the answer to the question "What 2 square numbers subtract to make 7623?" is 7744 and 121 as illustrated below:

7744 - 121 = 7623

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 7623. Below we list alternate solutions if available.

8464 - 841 = 7623
17424 - 9801 = 7623
36864 - 29241 = 7623

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What 2 square numbers subtract to make 7624?
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