Find the cube root of 343

This is the most fundamental definition of a cube root. If an integer is a perfect cube, we can calculate its cube root. We shall get the value of the cube root of in this article by utilizing the prime factorization technique and examples with detailed explanations.

This is the basic definition of the cube root. If a number is a perfect cube, we can easily find the cube root of a number. In this article, we will find the value of cube root of , using the prime factorization method and examples with complete explanation. The cube root of a number , is a number which when multiplied by itself three times results in the original number Usually, we use prime factorisation method to find the prime factors of the given number. Therefore, if we evaluate prime factors of , then we need to pair them in a group of three which will give the cube of factors. Hence, once we have found the cube of factors of a number, we can apply the cube root, which gets cancelled with the cubes.

Find the cube root of 343

The value of the cube root of is 7. As the cube root of is a whole number , is a perfect cube. The cube root of is the number which when multiplied by itself three times gives the product as Therefore, the value of the cube root of is an integer rational. What is the radius of this ball? The cube root of is equal to the negative of the cube root of Therefore, the value of the cube root of is 7. We know that the cube root of is 7 and the cube root of is 8. Hence, the value of 9 plus 8 cube root is On combining the prime factors in groups of 3 gives 7. About Us. Already booked a tutor? Learn Cube Root Of with tutors mapped to your child's learning needs. Learn Practice Download. Cube Root of Solved Examples.

Online Tutors. Now, let us have a look at the cube root of different numbers in brief:.

Cube root is the operation of finding what number, when multiplied by itself three times, gives the output as Cube roots are seen across mathematics, as well as other disciplines like Physics and Chemistry, too. Find out what the cube root of is by looking at a detailed step-by-step solution. For example, when we say that we cubed the number 2, we are asking what the product is after multiplying 2 three times by itself : 2 x 2 x 2, which gives 8 so the cube of 2 is 8. However, when a question asks for a cube root, we ask ourselves: what number when multiplied by itself three times produces that number. To use the same example, if we want to find the cube root of 8, we see that we can multiply 2 x 2 x 2, and the cube root of 8 is 2. Two other ways we can represent the cube root of is:.

This is the basic definition of the cube root. If a number is a perfect cube, we can easily find the cube root of a number. In this article, we will find the value of cube root of , using the prime factorization method and examples with complete explanation. The cube root of a number , is a number which when multiplied by itself three times results in the original number Usually, we use prime factorisation method to find the prime factors of the given number. Therefore, if we evaluate prime factors of , then we need to pair them in a group of three which will give the cube of factors. Hence, once we have found the cube of factors of a number, we can apply the cube root, which gets cancelled with the cubes. Step 2: Clearly, is a perfect cube. Therefore, group the factors of in a pair of three and write in the form of cubes.

Find the cube root of 343

The cube root of is the number, which multiplied by itself three times, is In other words, this number to the power of 3 equals In this section we provide you with important additional information about the topic of this post:. If you want to know how to find the value of this root, then read our article Cube Root located in the header menu. You already have the answer to that question, and you also know about the inverse operation of cube root. Simply insert the number of which you want to find the cube root e. The same is true if you typed 3 root of or 3 root in the search engine of your preference, just to name a few similar terms. BTW: A term closely related to cube roots is perfect cube. We tell you everything about perfect cubes in our article Cube Numbers. Your email address will not be published.

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It is self-evident that is a perfect cube. United Kingdom. Online Tutors. However, when a question asks for a cube root, we ask ourselves: what number when multiplied by itself three times produces that number. Example 1: What is the cube root of ? Example 3: What can the smallest integer be divided by to form a perfect cube? About Us. Sri Lanka. When you simplify the right side by grouping the numbers in threes and rewriting them in exponents, you can distribute the power to get:. Thus, the cube root is canceled out in this case by the cube of 7. If the number is small and perfect, you might be able to tell what the cube root is just by looking at the problem, but sometimes when the number is big, it is best to find the prime factorization of and rewrite as its prime factorization.

The value of the cube root of is 7.

Want more free resources? Maths Games. Terms and Conditions. The cube root of is the number which when multiplied by itself three times gives the product as Cube root is the operation of finding what number, when multiplied by itself three times, gives the output as Therefore, if we examine prime factors, we must organize them into groups of three, which provides the cube of factors. As a result, arrange the components into three pairs and write them as cubes. Deepanshi October 1, at am. The value of cube of cube root of is Now, let us have a look at the cube root of different numbers in brief:. Hence, once we have found the cube of factors of a number, we can apply the cube root, which gets cancelled with the cubes. The value of cube root of is 7.