What 2 square numbers subtract to make 5909?

What two square numbers subtract to make 5909? In other words, when you subtract one square number from another square number, the answer is 5909. 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 = 5909

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

165² - 146² = 5909

165² is 27225 and 146² is 21316, therefore the answer to the question "What 2 square numbers subtract to make 5909?" is 27225 and 21316 as illustrated below:

27225 - 21316 = 5909

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 5909. Below we list alternate solutions if available.

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