What 2 square numbers subtract to make 1544?

What two square numbers subtract to make 1544? In other words, when you subtract one square number from another square number, the answer is 1544. 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 = 1544

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

195² - 191² = 1544

195² is 38025 and 191² is 36481, therefore the answer to the question "What 2 square numbers subtract to make 1544?" is 38025 and 36481 as illustrated below:

38025 - 36481 = 1544

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 1544. Below we list alternate solutions if available.

149769 - 148225 = 1544

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