Roots of 3rd Power: How to Find & Example Problems

Basically, the cube root is the opposite of the power term 3. In this case, science related to the world of roots and powers has indeed become the basic science of mathematics which has always been taught since elementary school.

However, do you still remember the explanation well? If you feel you have forgotten all the explanations related to this, then you can listen to the contents of this article from beginning to end.

Recognizing the Power of 3

Before we discuss the formula itself, it helps if we know the meaning first. Briefly explained, the square root of 3 is the division of a power of 3 by the base number 2 times.

In addition, this term can also be interpreted as a modifier of the resulting number to a base number. Basically, the two explanations are the same. So, you can choose one of them, which you think is easier to understand.

Later, there will be certain steps you can take to find the numbers included in this case. Therefore, in addition to understanding the meaning of the basic calculation itself, you also need to know clearly how to find the right way.

Entering the next discussion, here we will also explain about how to find a good and correct cube root.

Read: Quadratic Function

How to Calculate the Root to the Power of 3

The basic calculation in this world of mathematics is a value which, when multiplied by itself, will result in 3 times the original value. Generally, explanations related to this have been discussed in elementary school.

To help you remember it, here are some ways you can do to calculate and find the square root of 3, namely:

1. Using the Table of Cubic Numbers

The first way you can do is to use a table of cubic numbers. Some people say that this method is the easiest method to do, so generally some people will prefer to use this method.

To start the process of searching and calculating this type, you need to create 2 patterns of cubic numbers, which consists of numbers to the power of 3 from numbers 1 to 9 and numbers to the power of 3 from multiples of 10. As an example:

a) Pattern I

b) Pattern II

Later, you can pay attention to the result of the power of 3 in the first pattern, to determine the location of the number to be drawn at the root. To determine the unknown value in a particular problem, you can look at the units digit of the existing number.

That way, it will be easier for you to find and calculate the types of basic calculations in this mathematical world.

Read: Cartesian Coordinates

2. Using Prime Factorization

In addition to using a table of cubic numbers like the one above, you can also use the prime factorization method to find and calculate the cube root calculation like this.

By using this method, later you will need to determine the prime factors using the factor tree method, also known as striped division. To start with, group every 3 prime factors that are the same, so that the number can be replaced with a prime factorization to the power of 3.

If you still don't understand this way, here we will provide an example of the discussion, namely:

That way, we can be sure that the prime factors of the number 1728 are 2 and 3. So, the next formula to do is:

3. Using Kalandra

The last way you can do to find and calculate the cube root of 3 is to use the calandra method. Basically, this method will be useful for extracting the cube root of a cubic number that contains more than 3 digits.

To do this, you can follow the following steps:

• Count first 3 numbers from the back, then add a dot in that part.
• In this case, the dot is not interpreted as a thousand, like when you see a certain number.
• After that, determine the multiplication of triplets whose result is equal to or less than the initial group of numbers in question. The function of this product is to subtract the first set of numbers.
• If you have done the steps above, you can reduce the results of the subtraction. If the result of subtraction in the previous step is 0, then you need to reduce the number of the second group.
• Then, the number of triplets in the multiplication of the initial twins will be added to start the process of multiplying the second triplets.
• After that, determine the second number of triplets, in which case the product of the unit number will be the same as the unit of the number to be rooted.
• That way, the result of taking this root comes from the first multiplication factor and the second multiplication factor. So, the results will be more visible.

Read: Trigonometry

Examples of Roots of 3 Practice Questions and Discussion

There are several sample questions that can help you understand this calculation better. In this case, we will provide 2 example questions along with their complete discussion, namely:

1. Calculate the cube root of 3375!

Answer:

The cube root of 3375 has a unit value of 5, and the base number of a cube having units of 5 is 5. Then, the fourth number from the back of 3375 is 3. Thus, the number to the power of 3 that is less than 5 is 1. So, the answer to the cube root of 3375 is 15.

Read: Pyramid Formula

2. Find the cube root of 74,088!

Answer:

Discussions related to the calculation of the cube root of 3 will always be interesting to discuss. Always remember the methods above, so you can find it easier when you want to calculate the cube root of a certain number.