What 2 square numbers subtract to make 2301?

What two square numbers subtract to make 2301? In other words, when you subtract one square number from another square number, the answer is 2301. 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 = 2301

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

49² - 10² = 2301

49² is 2401 and 10² is 100, therefore the answer to the question "What 2 square numbers subtract to make 2301?" is 2401 and 100 as illustrated below:

2401 - 100 = 2301

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 2301. Below we list alternate solutions if available.

9025 - 6724 = 2301
148225 - 145924 = 2301

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