NCERT Solutions for Class 8 Maths Chapter 5 Exercise 5.2 Square and Square Roots - PDF Download

NCERT solutions for class 8 maths chapter 5 ex 5.2 Square and Square Roots teaches students how to easily find the squares of large numbers. So far, you have to learn how to find squares of small numbers easily, but as the number expands and breaks down, you will have to learn a new way of finding squares of numbers in ex 5.2 square and square roots.

This section also provides an explanation of the concept of the Pythagorean triples. This chapter will also be useful in teaching the students how to identify the different numbers, so that they can break them up to facilitate complicated calculations. Class 8 maths chapter 5 exercise 5.2 NCERT solutions consists of two questions with its sub-parts. All the questions of ex 5.2 have been solved by subject experts of eSaral. NCERT solutions for class 8 maths chapter 5 ex 5.2 helps students in enhancing their mathematical skills. Download free PDF of maths NCERT solutions for chapter 5 ex 5.2 of class 8, which will help you with the exam preparation.

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Topics Covered in Exercise 5.2 Class 8 Mathematics Questions

Exercise 5.2 of NCERT solutions for class 8 maths chapter 5 squares and square roots is about finding the square of a number with other patterns and pythagorean triplets. Detailed explanations of these topics are provided here on eSaral.

1. Finding the Square of a Number - In order to figure out the square of any given number, we have to divide the number into two parts, and then we can easily solve it.

               If number is ‘x’ then x = (p + q) and x² = (p+q)²

The formula (p + q)² = p²+2pq+q² can also be used.

• Other patterns in squares

 Other pattern for the number ending with 5

We can use the pattern for numbers that end with 5. 

(a5)²=a(a + 1)100 + 25

• Pythagorean triplets

If the sum of two square numbers is also a square number, then these three numbers form a Pythagorean triplet.

For any natural number m > 1, we have (2m)² + (m²-1)² = (m²+1)² . So, 2m, m²-1 and m²+1 forms a Pythagorean triplet. 

Tips for Solving Exercise 5.2 Class 8 Chapter 5 Square and Square Roots

The concept of roots may seem complex at first, however, with consistent practice, students may be able to master it. To understand the concepts and solve the questions, our academic team of maths have combined some useful tips which you can check below.

1. The concept of roots assists in the comprehension of numbers and their relations. Numbers can be difficult to understand at times, particularly when attempting to solve complex questions, in such cases, the fundamental principles of square roots can facilitate the process.
2. Before solving ex 5.2 questions, you should practice the examples given in NCERT solutions class 8 maths.
3. You must comprehend the concept of pythagorean triplets to solve questions associated with it.
   

Importance of Solving Ex 5.2 Class 8 Maths Chapter 5 Square and Square Roots

NCERT solutions class 8 maths chapter 5 ex 5.2 can help students to solve the square of a number and pythagorean triplets. Let's look at some of the main advantages of solving ex 5.2 in NCERT class 8 maths.

1. NCERT solutions for class 8 maths chapter 5 ex 5.2 cover all topics and concepts related to squares of a number, some patterns in square and pythagorean triplets which provides clear understanding of the questions asked in ex 5.2.
2. Each problem is explained in detail step by step, making it simple for students to comprehend and use math concepts in all the questions.
3. Students can get accurate answers to class 8 maths chapter 5 ex 5.2 questions from NCERT solutions for chapter 5 ex 5.2.
4. For preparing class 8 maths exams, students can also download the PDF of these solutions which can be found on eSaral website.

Frequently Asked Questions

Question 1. Can we download the pdf version of the NCERT solutions class 8 maths chapter 5 ex 5.2 in any device?

Answer 1. Yes, you can download the pdf version of NCERT solutions for class 8 maths chapter 5 ex 5.2 on your phone, tablet, laptop, or desktop.

Question 2. What are the benefits of solving questions from NCERT solutions class 8 maths ex 5.2?

Answer 2. The benefits of solving questions from NCERT solutions class 8 maths ex 5.2 are: it gives you conceptual clarity, provides practice questions, helps for exam preparation etc.