What 2 square numbers subtract to make 4431?

What two square numbers subtract to make 4431? In other words, when you subtract one square number from another square number, the answer is 4431. 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 = 4431

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

116² - 95² = 4431

116² is 13456 and 95² is 9025, therefore the answer to the question "What 2 square numbers subtract to make 4431?" is 13456 and 9025 as illustrated below:

13456 - 9025 = 4431

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 4431. Below we list alternate solutions if available.

102400 - 97969 = 4431
547600 - 543169 = 4431

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What 2 square numbers subtract to make 4432?
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