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NCERT Solutions for Class 8 Maths Chapter 6 Exercise 6.2 Cubes and Cube Roots - PDF Download

JEE Mains & Advanced

NCERT solutions for class 8 maths chapter 6 ex 6.2 shows that cubes are operations that jump forward in the number line whereas finding the cube root is an inverse operation to return to the original number. Sometimes, we can learn more about the cube by looking back at the original number. This is especially when we remove the prime factors and see the different numbers that contribute to the cube.

Class 8 maths chapter 6 exercise 6.2 NCERT solutions is composed of three questions that necessitate the students to calculate the cube roots. In the first question, there are ten sub-questions where you need to find the cube roots of these numbers by prime factorization. The second question is a true or false question that consists of seven sub-questions that can be answered on the basis of the student's comprehension of the topic. 

 Ex 6.2 class 8 maths solutions are developed by the subject specialists at eSaral in a way that by studying through these solutions, students will be able to overcome all their doubts regarding the method of determining the cube roots. Ex 6.2 class 8 maths chapter 6 helps students figure out the best way to answer a question. Every time the students solve the questions in these solutions, they get a better understanding of the concept. NCERT solutions for class 8 maths chapter 6 ex 6.2 PDFs are available here free to download. You can download the solutions in PDF format here.

Topics Covered in Exercise 6.2 Class 8 Mathematics Questions

Ex 6.2 class 8 maths chapter 6 NCERT solutions comprises essential topics which talk about cube roots and finding cube roots through prime factorization method. You can go through these topics and concepts of cube roots explained below.

1.

Cube Roots

  • Cube root through prime factorisation method

  1. Cube Roots

Finding the cube root is the inverse operation of finding cube. 

If 23= 8 then cube root of 8 is 2

We write ∛8=2  and the symbol of cube root is ‘ ∛’

Method of finding the cube root

  • Cube root through prime factorisation method

Step 1- Let’s write the prime factors of the given number.

Step 2- Make a pair of three if possible.

Step 3- Then replace them with a single digit.

Step 4- Multiply these single digits to get the cube root.

Tips for Solving Exercise 6.2 Class 8 Chapter 6 Cubes and Cube Roots

The NCERT solutions class 8 maths chapter 6 ex 6.2 cubes and cube roots has many questions which can be solved with proper understanding of the concept of cubes and cube roots. You can learn the tips provided by subject experts of maths at eSaral to solve the questions properly.

  1. Students are required to understand the concepts outlined in chapter 6 ex 6.2 and practice the examples on their own. This will enable them to comprehend the sorting of the cubes and the cube roots questions with ease.

  2. This exercise helps us figure out how numbers and cubes relate to each other. We also need to figure out how many digits a number can have in a cube. This is another relationship that we need to look into in NCERT solutions class 8 maths chapter 6.

  3. You must understand the concept of solving cube roots through prime factorization to solve the questions included in ex 6.2.

Importance of Solving Ex 6.2 Class 8 Maths Chapter 6 Cubes and Cube Roots

Here are some of the benefits of NCERT solutions for class 8 maths chapter 6. You can check them below.

  1. Through NCERT solutions class 8 maths, students will get to learn about the properties and applications of cube roots of chapter 6 ex 6.2.

  2. NCERT solution class 8 maths chapter 6 ex 6.2 will help students gain confidence in the exercise and build a strong foundation.

  3. The solutions have been broken down into smaller parts so that the students can understand them easily.

  4. eSaral provides you with a set of techniques and tips that will assist you in solving the questions in a timely manner.

  5. The solutions are downloadable in a free PDF format and can be accessed at any time, from any location.

  6. The answers are presented in an easy-to-understand and step-wise way, which will help the students to strengthen their cube root skills.

Frequently Asked Questions

Question 1. What is cube root in NCERT solutions class 8 maths chapter 6 ex 6.2?

Answer 1. Cube root is the number that is multiplied by itself 3 times to give the desired number. For example, 4 x 4 x 4 = 64. So, in this example, the cube root is 4. Similarly, the cube of 4 is 64. Cube roots are symbolized by the symbol ‘∛’.

Question 2. What is the method to find the cube root of a given number?

Answer 2. Here is the main method to find the cube root of a given number.

  1. Cube root through prime factorisation method.

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