What 2 square numbers subtract to make 1400?

What two square numbers subtract to make 1400? In other words, when you subtract one square number from another square number, the answer is 1400. 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 = 1400

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

39² - 11² = 1400

39² is 1521 and 11² is 121, therefore the answer to the question "What 2 square numbers subtract to make 1400?" is 1521 and 121 as illustrated below:

1521 - 121 = 1400

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 1400. Below we list alternate solutions if available.

2025 - 625 = 1400
3249 - 1849 = 1400
5625 - 4225 = 1400

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