Many students are wondering how to multiply and add numbers, how to divide and subtract them. In high school, the topic of how to calculate the root of numbers is raised. It is not easy for everyone, most skip classes, some are not very attentive in the learning process. For these reasons, without grasping the essence and not having absorbed the material, they suffer in the future.
To get out of this kind of situation, consider the simplest example by extracting the root from the number eight and find out what the square and cubic roots of numbers are.
What is the square root of a number
Let's start with the question of what is the square root. The root of the number is the number that was previously squared. For example, if you square a two, we get the number four, respectively, the square root of four will be equal to two. The square root is denoted by √. In this case, the equation will look like this: √4 = 2.
How to calculate the root of 8
Calculating the root of such a number is not so simple, since there is no integer value that gives a figure eight in the square. A two in a square is four, a three is already nine. So, the number we need is a fractional decimal between a two and a triple. How to calculate the root of eight?
There is always a way out. Therefore, we will go a different, easier way. Let's pay attention to the fact that the eight can be decomposed into two factors: four and two. As we have already noticed, the root of the four is a deuce, therefore, based on this fact, we can say that a root of eight is equal to two roots of two, which in the form of numbers will look like this: 2√2.
The exact value of the root of eight
A more accurate number, which is the root of the figure eight, is the decimal fraction. You can calculate it using a calculator, and also find out the value from additional sources. To be more precise, then √8 = 2.82842712475.
There is also a cubic root of the number, which is indicated by such a sign: ∛. The cube root is the number that was previously raised to the third power. The cube root of the eight is the number 2. If you raise a deuce to the third power, you get the number eight. Accordingly, the cubic root of 8 is equal to two.
So, we learned how to calculate the square and cubic roots of numbers, learned what the square root of a number is and how you can get out of a difficult situation when performing arithmetic operations. It is important to remember that there are no unsolvable problems ; there is always a right solution.