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, the majority skips lessons, some are not entirely attentive in the learning process. For these reasons, not catching the essence and not assimilating the material, they suffer in the future.
To get out of this kind of situation, consider the simplest option using the example of extracting the root of the number eight and find out what the square and cube roots of numbers are.
What is the square root of a number
Let's start with the question of what is a square root. The root of the number is the number that was previously raised to a square power. For example, if we square two, we get the number four, respectively, the square root of four will be equal to two. The square root is denoted by the sign √. In this case, the equation will look like this: √4=2.
How to calculate the root of 8
Calculate the root ofsuch a number is not so simple, since there is no integer value that, squared, gives an eight. Two squared equals four, three equals nine. This means that the number we need is a fractional decimal between two and three. 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 noted, the root of four is two, therefore, based on this fact, we can say that the 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 precise number that is the root of the eight is a decimal fraction. You can calculate it using a calculator, as well as find out the value from additional sources. To be more precise, then √8=2, 82842712475.
There is also a cube root of a number, which is denoted by this 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 the two to the third power, you get the number eight. Accordingly, the cube root of 8 is two.
So, we learned how to calculate the square and cube roots of numbers, we 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 the right one.solution.
