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What is the use of square roots?

Updated: 12/17/2022
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12y ago

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A "square root" is an important mathematical concept.

Let's look at a very well known, simple and yet important example. We can use square roots to calculate the unknown side of a right angled triangle using Pythagoras' theorem (where we know the other two sides).

If you think about that you will see that there are potentially many occasions on which people may utilise this. An architect or engineer, for example, who is designing something may rely on it. That, by itself, is a very broad category ranging from perhaps a carpenter who simply wants to cut some wood into triangles, all the way to an engineer working on the hugely complex design of a new fighter aircraft.

Another simple example would be to reflect that certain fundamental laws of the Universe could not be explained without the use of squares and square roots. The pull of gravity, for example, varies in inverse proportion to the square of the distance between the two masses. Sir Isaac newton may have spent all his days under a tree with apples bombarding his head if he couldn't make use of square roots!

I will leave the reader to ponder on all the other jobs and concepts which, to one degree or another, make use of this concept. I would suggest that there are lots, without even needing to consider some of the more complicated mathematical concepts and applications that make use of square roots.

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Q: What is the use of square roots?
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