Definition of

cube root

Digits

The cube root involves multiplying a number three times by itself to obtain the result.

Root is a concept that has several uses. On this occasion, we are interested in its meaning in the field of mathematics. The root, in this sense, is a quantity that, when multiplied certain times by itself , allows us to reach a certain result.

The cube root is the root that involves multiplying a number three times by itself to obtain the result. In other words: the cube root is the operation in which the radind (the number that must be multiplied by itself) has an index (the number of times it must be multiplied) of value 3 . The result of this filing will be the root in question.

Cube root calculation

When faced with a cube root , in short, we have to cub a number , multiplying it three times by itself. Suppose we want to know what the cube root of 64 is. The answer is 4 : if we multiply 4 three times by itself ( 4 x 4 x 4 ), we will see that the result is 64 .

4 x 4 = 16

16 x 4 = 64

(4 x 4 x 4 = 64)

Therefore, 4 cubed is equal to 64 (and the cube root of 64 is 4 ).

Calculator

A scientific calculator helps calculate the cube root.

another example

Let's take the case of the cube root of 27 . In this case, we will notice that the answer is 3 , since 3 cubed ( 3 x 3 x 3 ) is equal to 27 . The cube root of 27 , then, is 3 .

3 x 3 = 9

9 x 3 = 27

(3 x 3 x 3 = 27)

Tips for working with cube roots

Practically most people, except students who are now learning to do cube roots, resort to using a calculator to be able to solve the ones that come their way. However, mathematics experts agree that there are a series of tricks that allow them to be calculated simply and without using any type of electronic device.

Specifically, in this sense, they establish the following:

-It facilitates the mental resolution of these roots to know by heart what the cubes of the first ten numbers are, that is, from 1 to 10.

-To be able to guess them you can always choose to make approximate calculations.

-Separate the question number from right to left into groups of three figures. In this way, if there are one or two digits left in the leftmost one, you can already know that the cube root is less than 50.

The case of Shakuntala Devi

Throughout history there have been prodigious minds with undeniable mathematical agility, who have known how to make mental calculations of cube roots of numbers with many figures. This would be the case, for example, of Shakuntala Devi (1929 – 2013), who was known as the “calculating woman.” She toured the world from her early childhood showing the world her capabilities in that sense.

Specifically, he is part of the Guiness Book of Records for having been able to discover, in less than a minute, the 23rd root of a number that had no more and no less than 201 digits.