What 2 square numbers subtract to make 4464?

What two square numbers subtract to make 4464? In other words, when you subtract one square number from another square number, the answer is 4464. 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 = 4464

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

67² - 5² = 4464

67² is 4489 and 5² is 25, therefore the answer to the question "What 2 square numbers subtract to make 4464?" is 4489 and 25 as illustrated below:

4489 - 25 = 4464

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 4464. Below we list alternate solutions if available.

6400 - 1936 = 4464
11025 - 6561 = 4464
17689 - 13225 = 4464

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What 2 square numbers subtract to make 4465?
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