general

definition of square root

At the request of the math, the square root is a quite usual and frequent operation within this science , that implies a quantity that will be multiplied by itself and only once, and that allows us to obtain a certain number.

It should be noted that the use of this type of operation dates back to really remote times, since the ancient Egyptian peoples used it to solve some geometric problems. At present it is symbolized as a v with an extension on the right line, even in calculators its function is symbolized in this way.

The aforementioned symbol is due to the German mathematician Christoph Rudolff , who proposed it in the century XVI to account for the operation at hand. The symbol is inspired by the lowercase r, rather it is a stylized and prolonged version of it.

Meanwhile, the root will be indicated by the letter r in lowercase format, which will be named as radical. It is worth noting that this lowercase r is shown with a kind of long arm over the number from which the root is to be obtained. The latter is formally known as residing. On this and in what would be the opening of the v, the index that is the order of the root is placed.

In the case of the root in question, the square root, the index will be the number 2 and it is not mandatory or necessary to place it in the radical.

From a square root we can obtain either a whole number As it is, the square root of 9 results in 3, or failing that, a decimal number, as we do with the square root of 5, which is 2.23.

It is also possible to obtain square roots of negative numbers, which give way to complex numbers.

On the other hand, if the radicand is raised to the power indicated in the index, we will obtain the value of the radicand as a result of that operation.

The opposite operation to the one at hand is empowerment.

Both the square root and its cubic pair are the most used.

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