NCERT Solutions for Square and Square Roots Exercise 6.4 Class 8 Maths

NCERT Solutions for Exercise 6.4 Class 8 Maths: Class 8 students should solve NCERT Exercise questions in order to achieve high grades. They should refer to NCERT Solutions provided by Embibe for class 8 math preparation. Students who want to score well in Chapter Square and Square Roots should solve class 8 maths exercise 6.4 after reading the concepts thoroughly.

Students must complete all NCERT exercises for the final exam, which is why we have produced detailed NCERT solutions for ex 6.4 class for them to refer to. They can use these NCERT solutions for exercise 6.4 Class 8 Maths anytime they run into difficulties with their studies. Continue reading this post to get the NCERT solutions for class 8 maths chapter 6 exercise 6.4.

NCERT Solutions for Exercise 6.4 Class 8 Maths: Overview

Before we provide the PDF link of the NCERT solution for class 8 maths chapter 6 exercise 6.4, let us first have an overview of the same:

NCERT Solutions for Exercise 6.4 Class 8 Maths: Download PDF

Here we have provided the class 8 maths exercise 6.4 solutions PDF. Just click on the link and download the PDF:

Square and Square Roots: Chapter Description

Square numbers include integers like 1, 4, 16, and 36.

M is the square number if it can be stated as n2 where n is also a natural integer.

1. This chapter explains the properties of square numbers.
2. When a number’s units place is 1 or 9, the square terminates in 1.
3. When a square number ends in 6, the square root will have 4 or 6 in place of the unit.
4. Only an even number of zeroes can be found at the end of a square number.

The following are some of the patterns addressed in this chapter:

1. Triangular number addition
2.  Numbers between squares: Between the squares of the numbers n and (n + 1), there are 2n non-perfect square numbers.
3.  Odd-number addition: A natural number is not a perfect square if it cannot be represented as a sum of consecutive odd natural numbers beginning with 1.
4.  A series of natural numbers added together
5.  The product of two even/odd natural integers in a row
6.  A few more square number patterns

Finding the square of a number is a difficult task. Finding the square of an integer is done without actually multiplying it. The following points are separated into this section:

1. Other square designs

2. Pythagorean triplets are a type of Pythagorean triplet.

3. The Pythagorean triplet is a set of three numbers: three, four, and five.

Square roots are discussed in length in section 6.5.

1. The square root is the square’s inverse operation.

2. There are many methods for determining square roots. The following sections are subdivided from this section:

1.  Recognize square roots
2.  Using repeated subtraction to find the square root
3.  Using prime factorization to find the square root.
4.  Using the division method to find the square root

Finding the Square Roots of Decimal is the next stage, which is taught in six parts. Following that, the concept of estimating square roots is introduced.

There are four exercises in this chapter. Before each exercise, students are given solved samples to help them tackle the questions quickly and correctly.

Square and Square Roots: Important Questions

Q1. Find the square root of each of the following numbers by using the method of prime factorization:

(a) 121

(b) 441

(c) 625

(d) 729

(e) 1521

(f) 2025

(g) 4096

(h) 5776

(i) 8100

(j) 9216

(k) 11236

(l) 15876

(m) 18496

Q2. Find the smallest number by which the following number must be multiplied to get a perfect square. Also, find the square root of the perfect square so obtained.

1. 1008
2. 1280
3. 1875

Q3. 878 students are to be sitting in a hall in such a way that each row contains as many students as the number of rows. Find the number of rows and the number of students in each row.

Q4. What could be the possible ‘one’s’ digits of the square root of each of the following numbers?

1. 1801
2.  856
3. 1008001
4. 6577525

Q5. The students of a class arranged a gift for the class teacher. Each student contributed as many rupees as the number of students in the class. If the total contribution is Rs 1521, find the strength of the class.

Q6. Find the smallest number by which the following number must be divided to get a perfect square. Also, find the square root of the perfect square so obtained.

1. 600
2. 2904

Q7. Find the square root

1. 0151129
2. 83.3569

Q8. Find the square roots of 100 and 169 by the method of repeated subtraction.

Q9. Find the smallest whole number by which 1008 should be multiplied so as to get a perfect square number. Also, find the square root of the square number so obtained.

Q10. A gardener has 6000 plants in his garden. He wants to plant them in such a way that the total number of rows and columns stays the same. Determine the bare minimum of plants he requires for this.

Q11. In a school, there are 1000 students. They must stand in such a way that the number of rows equals the number of columns for a P.T. drill. In this scenario, how many children would be left out?

Q12. 2024 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows. Find the number of rows and the number of plants in each row.

Benefits of having NCERT Solutions for Class 8 Maths Exercise 6.4

Below are some of the benefits of having NCERT Solutions for Class 8 Maths Exercise 6.4:

• These NCERT Solutions for class 8 maths chapter 6 exercise 6.4 can be used as a reference for practicing problems, strengthening abilities, and efficiently preparing for exams. 
• The CBSE Class 8 Maths Solutions for ex 6.4 class 8 are intended to aid pupils in swiftly solving problems. 
• Our skilled subject matter experts have constructed the NCERT 8th Class Maths Solutions for ex 6.4 class 8 to contain well-prepared exercises and extensive explanations, making learning and understanding subjects much easier.
• Each chapter concludes with exercises that allow students to test what they’ve learned in the chapter. NCERT solutions for class 8 exercise 6.4. Will help them check their solutions step by step and their final answers as well.

Frequently Asked Questions on NCERT Solutions for ex 6.4 class 8

Here we have provided some frequently asked questions on class 8 maths exercise 6.4 solutions:

Q1. Where can I find chapter-by-chapter NCERT Solutions for Class 8 Maths?

Ans: Embibe provides NCERT Solutions for all chapters of class 8. These solutions will assist students in understanding the concepts easily.

Q2. Will the NCERT Solutions for Grade 8 Maths help pass the final exam?

Ans: NCERT solutions are created by subject matter experts and contain detailed solutions. The easy way to solve all questions from NCERT is to take the help of NCERT solutions for class 8 maths.

Q3. Is there a website where I can get Class 8 chapter-by-chapter mock papers?

Ans: Embibe provides a class 8 chapter wise mock tests. Students can learn the concepts then practice questions related to each concept and then give mock tests as well.

Q4. From where I can download class 8 maths exercise 6.4 solutions?

Ans: Students can download Class 8 maths exercise 6.4 solutions from the above article.

Q5. What are the topics discussed in chapter 6 class 8?

Ans: 1. Triangular number addition
 2. Numbers between squares: Between the squares of the numbers n and (n + 1), there are 2n non-perfect square numbers.
 3. Odd-number addition: A natural number is not a perfect square if it cannot be represented as a sum of consecutive odd natural numbers beginning with 1.
 4. A series of natural numbers added together
 5. The product of two even or odd natural integers in a row
 6. A few more square number patterns

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