NCERT Solutions for Cube and Cube Roots Exercise 7.2 Class 8 Maths

Exercise 7.2 Class 8 Maths NCERT Solutions: This article deals with Cube and Cube Roots for Maths Class 8. NCERT Class 8 Maths solutions provide chapter-wise and exercise-wise solutions in detail. These solutions are based on CBSE guidelines and it provides in-depth knowledge about the concepts. Exercise 7.2 Class 8 solutions will provide a deep understanding of the chapter along with the tips and tricks to solve the problems easily.

Class 8 Maths Ex 7.2 deals with the solutions for Cube Roots which are solved by Embibe’s subject matter experts. In this article, students can find the Ex 7.2 Class 8 Solutions in a detailed and comprehensive manner. Each question is solved in a simple step-by-step manner to help students understand the chapters easily. We at Embibe have provided the direct link to download the PDF for Exercise 7.2 Maths Class 8. Read on to know more.

NCERT Solutions for Cube and Cube Roots Ex 7.2 Class 8 Maths: Overview

For CBSE Class 8 students, Chapter 7 deals with understanding the basic concepts and solving numerical problems related to Cube and Cube Roots. In this chapter, students can know interesting patterns of cubes, the smallest multiple that is a perfect cube, cube roots definition, solving problems by prime factorisation method and cube root of a cube number.

It enables students of Class 8 to develop the ideas of solving the cube roots by various methods without any difficulty. However, before going to the solutions of Maths NCERT Class 8 Ex 7.2, let us have a brief overview of the Cube and Cube Roots chapter from the NCERT book.

Check the table below to know the brief of Chapter 7:

NCERT Solutions for Class 8 Maths Chapter 7 Ex 7.2: Download PDFs

Students must prepare effectively for CBSE Class 8 Mathematics exam by practising all the problems listed in the NCERT textbook. To solve these in-text questions students must have proper knowledge of all the concepts in each chapter.

Students can start studying through the Class 8 NCERT Solutions Chapter 7 provided by Embibe to get a good score in the final exam. Embibe has provided the Class 8 Maths Chapter 7 NCERT Solutions in PDF format. Students can download the PDF and save it to refer to it whenever required. Students can check the Class 8 Maths Exercise 7.2 Solutions given below for reference. Bookmark this page to study later.

Important Questions for NCERT Solutions Class 8 Maths Exercise 7.2

We have given a few questions from Class 8 maths Exercise 7.2 in the text format for your reference. Candidates can check the problems and solutions here:

Q.1: Find the cube root of each of the following numbers by the prime factorisation method.
64 = 4
Solution: Given number is 64.
64 can be factorised as follows.

Prime factorisation of 64=2×2×2×2×2×2
So, Cube root of 64
643=2×2×2×2×2×23=433=4.

Q.2: Find the cube root of the following number by prime factorisation method.
512 = 8
Solution: Given number is 512.
512 can be factorised as follows.

Prime factorisation of 512=2×2×2×2×2×2×2×2×2. So, cube root
of 512 is 5123=2×2×2×2×2×2×2×2×23=2×2×2=8. Therefore, cube root of 512 is 8.

Q.3: Find the cube root of 10648.
22
Solution: The given number is 10648.
10648 can be factorised as follow:

Prime factorisation of 10648=2×2×2×11×11×11.
So, 106483=2×2×2×11×11×131=2×11=22 Hence, 106483=22

Students may find the direct PDF links for Exercise 7.2 Class 8 Maths below.

DOWNLOAD NCERT MATHS CLASS 8 CHAPTER 7 EXERCISE 7.2

Benefits of Studying from NCERT Solutions for Class 8 Maths Chapter 7

Solving NCERT Cube and Cube Roots problems will help students not only to gain good scores in their Class 8 final examinations but also help them get a good hold of mathematical concepts which they would need when they move to higher classes. Cube and Cube roots deal with some interesting patterns of cubes, the smallest multiple that is a perfect cube, cube roots definition, solving problems by prime factorisation method and cube root of a cube number.

Let us look at some of the key advantages of solving the NCERT Chapter 7 Class 8 Maths Solutions below:

• The subject-matter experts at Embibe have solved the NCERT Maths Ex 7.2 Solutions so that students can get a clearer idea of the entire chapter.
• The questions and answers are solved in a simpler manner for students so that they are able to grasp the concepts clearly.
• Maths Ex 7.2 Class 8 deals with Cube and Cube Roots which is a very important chapter for higher classes. The questions are solved in a step-by-step manner to help students understand the answers easily.
• Students can improve their test-taking skills and solve problems with speed and accuracy.
• In order to provide further assistance to CBSE Class 8 students in their preparation, a full assessment of topics along with some of the important questions is also given.
• The marks weightage will be there for every question which is asked in the exam.
• Last-minute preparation and revision of the important facts can also be accomplished with the help of these NCERT solutions.
• The NCERT Class 8 Maths Solutions are provided in the form of PDFs and in-text solutions for students to download for and use when required.
• With deep analysis and understanding of the NCERT Class 8 Exercise 7.2 Solutions PDF, students are also provided with the chapter-wise mock tests to practice better for their exams.

About NCERT Solutions for Class 8 Maths Chapter 7 Ex 7.2

CBSE Class 8 NCERT Maths Chapter 7 deals with Cube and Cube Roots. Furthermore, Ex 7.2 has numerical problems related to Cube Roots. The Cube Roots are the inverse operations of finding a cube. So, remembering the cubes of numbers are very important to know whether you have solved the problem correctly or not. The symbolic representation of a cube root is ‘3 √’.

Questions asked in this chapter are mostly solved based on the prime factorisation method or grouping method (if the number is a cube number). Following are some tips and tricks which candidates can remember while solving Cube Root questions for Class 8:

• Solve NCERT exercises: If all the candidates get easy on NCERT exercises and their example questions, they can easily score good marks in their Class 8 final exams. That is why, for every CBSE student, the NCERT textbook must be the ultimate guide for all their problems.
• Get Acquainted with the Formulas: While solving the questions of cube and cube roots, students must have a knowledge of all the methods listed in the textbook. These will help them to solve the questions with greater assurance.
• Keep NCERT Solutions Handy: Keeping NCERT Class 8 Maths solutions in the downloaded format can help students when they face any difficulty while solving a particular question. Students can view the solutions in offline mode even when they are not connected to the Internet.

NCERT Solutions for Class 8 Maths Chapter 7 Excercise 7.2 Summary

In this Chapter 7 Exercise 7.2, you have learnt about the following concepts:

• Numbers like 1729, 4104, and 13832, are known as Hardy–Ramanujan Numbers. They can be expressed as the sum of two cubes in two different ways.
• Numbers obtained when a number is multiplied by itself three times are known as cube numbers. For example 1, 8, 27, … etc.
• If in the prime factorisation of any number each factor appears three times, then the number is a perfect cube.
• The symbol ∛ denotes cube root. For example 3√27 = 3.

FAQs on NCERT Solutions for Class 8 Maths Chapter 7 Excercise 7.2

Some of the frequently asked questions on Mathematical reasoning questions and their answers are as follows:

Q.1: What is a cube?

Ans: A cube is the product of a number multiplied by 3 times. It is represented by a superscript Figure 3.

Q.2: How to find a cube root?

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

Q.3: What is the symbol for cube root?

Ans: The symbol for cube root is 3√.

Q.4: What are concepts covered in Class 8 Cube and Cube Roots?

Ans: Class 8 NCERT chapter on cube and cube roots deals with some interesting patterns of cubes, the smallest multiple that is a perfect cube, cube roots definition, solving problems by prime factorisation method and cube root of a cube number.

Q.5: Where will I find Class 8 Maths NCERT Solutions Chapter 7?

Ans: Candidates can assess Class 8 Maths NCERT Solutions Chapter 7 from Embibe’s website.

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Now that we have provided you with the NCERT Solutions for Class 8 Maths Chapter 7 Exercise 7.2 we hope that you make good use of it. We also encourage students to share these NCERT Solutions with their friends.

We hope this article on NCERT Solutions for Class 8 Maths Chapter 7 Exercise 7.2 helps you. Stay tuned to embibe.com for more information on NCERT Solutions for Class 8 Maths!