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# NCERT Solutions for Square and Square Roots Exercise 6.3 Class 8 Maths

NCERT Solutions for Square and Square Roots Exercise 6.3 Class 8 Maths: A square is the value derived by multiplying a natural number with itself. A Square root is the number obtained when a natural number is the dividend, and the quotient is same as the divisor with remainder as zero. For example if a natural number X can be expressed as Y2 , where Y is also a natural number, then X is a square number. The NCERT Solutions for Square and Square Roots exercise 6.3 Class 8 Maths deals with Square roots.

In Class 8 Maths Chapter 6 exercise 6.3, students will be solving questions based on finding square roots, finding square roots through repeated subtraction method, finding square roots through prime factorisation. In this article, we have provided the ex 6.3 Class 8 Maths in PDF format for quick download. Read on to know more.

## NCERT Solutions for Square and Square Roots Exercise 6.3 Class 8 Maths: Overview

The NCERT Solutions for Square and Square Roots Exercise 6.3 Class 8 Maths deals with the topic Square roots. Students are taught different methods by which a square root can be calculated. The sub-topics include finding square roots, finding square roots through repeated subtraction method, and finding square roots through prime factorisation. The NCERT Solutions for ex 6.3 Class 8 Maths have 10 questions ranging from finding the possible one’s digits of square roots from multiple options, finding square roots by prime factorisation method, finding the smallest square number divisible by each of the various numbers given.

Before we move to the section with NCERT Solutions for Square and Square Roots Exercise 6.3 Class 8 Maths pdf, check the overview of the chapter 6 below:

### NCERT Solutions for Square and Square Roots Exercise 6.3 Class 8 Maths PDF

Solving the NCERT Solutions Exercise 6.3 Class 8 Maths can help students find the square root of  a number quickly using various techniques. Students are advised to solve all the questions on their own and then check their progress against the steps followed in NCERT Solutions for Square and Square Roots Class 8 Maths chapter 6 exercise 6.3.

Finding the square and square root of a number is a very important mathematical concept. It will be used in the next chapters and classes. Knowing how to find the square and its root can make maths calculations quick, easy and accurate. Students can download the NCERT Solutions for Class 8 Maths chapter 6 exercise 6.3 from the pdf link below:

NCERT Solutions for Square and Square Roots Exercise 6.3 Class 8 Maths

We have listed some of the NCERT Solutions for ex 6.3 Class 8 Maths here:

Q.1: Find the smallest square number that is divisible by each of the numbers 4,9, and 10.
Solution:
The number that will be perfectly divisible by each one of 4,9, and 10 is the LCM of these numbers. The LCM of
these numbers is as follows.
LCM of 4,9,10=2×2_×3×3_×5=180
Here, prime factor 5 does not have its pair. Therefore, 180 is not a perfect square. If we multiply 180 with 5, then
the number will become a perfect square.
Therefore, 180 should be multiplied with 5 to obtain a perfect square.
Hence, the required square number is 180×5=900.

Q.2: The students of Class VIII of a school donated ₹2401 in all, for Prime Minister’s National Relief Fund. Each student donated as many rupees as the number of students in the class. Find the number of students in the class.
Solution:
Let x be the total number of students in the class.
It is given that each student donated as many rupees as the number of students of the class.
The total amount of donation is ₹ 2401.
Therefore x2=2401
Number of students in the class x =2401
2401=7×7_×7×7_
∴2401=7×7=49
Hence, the number of students in the class is 49.

Q.3: 2025 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.
Solution: Given that in the garden, each row contains as many plants as the number of rows.
Let, number of rows =x.
Total number of plants = Number of rows × Number of plants in each row. ⇒2025=x×x⇒x×x=2025 ⇒x2=2025
⇒x=2025
2025=5×5_×3×3_×3×3_
∴2025=5×3×3=45
Thus, the number of rows and the number of plants in each row is 45.

### NCERT Solutions for Square and Square Roots Exercise 6.3 Class 8 Maths: About the Exercise

The Class 8 Maths Exercise 6.3 has total 10 questions. The questions are created such that they test the conceptual understanding of students on the topic Finding Square Roots with different methods. There are a variety of questions like finding the numbers which are not perfect squares from given numbers, finding the smallest whole number by which a certain number should be divided so as to get a perfect square and also finding the square root of the square number so obtained.

The topic 6.5 Square Roots is further divided into 3 sub-sections that teach methods of finding a square root by separate methods. Students should solve the Class 8 Maths ex 6.3 sincerely and develop speed in calculating a square root.

### NCERT Solutions for Square and Square Roots Exercise 6.3 Class 8 Maths: Chapter Summary

We have summarised the important points of the chapter Square and Square roots below:

1. If a natural number m can be expressed as n 2 , where n is also a natural number, then m is a square number.
2. All square numbers end with 0, 1, 4, 5, 6 or 9 at units place.
3. Square numbers can only have even number of zeros at the end.
4. Square root is the inverse operation of square.
5. There are two integral square roots of a perfect square number. Positive square root of a number is denoted by the symbol √. For example, 32 = 9 gives √9=3.

### Benefits of Solving NCERT Solutions for Square and Square Roots Exercise 6.3 Class 8 Maths

Below are some of the advantages of solving the NCERT Solutions Class 8 Maths chapter 6 exercise 6.3:

1. The NCERT solutions for ex 6.3 Class 8 Maths  are designed following the CBSE curriculum.
2. The NCERT solutions class 8 maths chapter 6 exercise 6.3 have step-by-step explanation so that students can check where they may be making mistakes and rectify their conceptual errors.
3. The Class 8 Maths ex 6.3 enables students to build a strong foundation in calculation of square and square roots, which can make arithmetic questions easier.
4. Students can write the same step-wise answers as given in the solutions in their final exam.
5. Solving the Class 8 Maths exercise 6.3 solutions improves the problem-solving speed and accuracy of students.
6. The Embibe Exercise 6.3 Class 8 Maths NCERT Solutions are curated our subject matter experts.
8. Questions are also asked from the NCERT textbooks and solutions in the final exams. Thus, solving the ex 6.3 Class 8 can help students score full marks in these or similar questions.

### FAQs on NCERT Solutions for Square and Square Roots Exercise 6.3 Class 8

Here are some of the most frequently asked questions on NCERT Solutions for Square and Square Roots Exercise 6.3 Class 8:

Q.1: Where can I get the pdf of ex 6.3 Class 8 Maths NCERT Solutions?

Q.2: Is it enough to solve the class 8 Maths chapter 6 exercise 6.3 for exam?
Ans: Yes, questions are generally asked from the NCERT textbooks and Solutions, which are enough to pass the Class 8 final exam.

Q.3: What will I learn from the Class 8 Maths ex 6.3?
Ans: Students will learn about finding square roots, finding square roots through repeated subtraction method, and finding square roots through prime factorisation from exercise 6.3.

Q.4: What are the concepts covered in the NCERT Solutions for Class 8 Maths Chapter 6?
Ans: In NCERT Solutions Class 8 Maths Chapter 6, students will learn about Properties of Square Numbers, Finding the Square of a Number, square roots of decimal, etc.

Q.5: How many exercises are there in NCERT Solutions for Squares and Square Roots Class 8 Maths Chapter 6?
Ans: There are four exercises in the NCERT Solutions for Square and Square roots Class 8 Maths Chapter 6.

The NCERT Solutions for Squares and Square Roots Class 8 Maths Chapter 6 should be practiced multiple times to retain the formulas and ensure their correct implementation in a question. Students can check Embibe’s 3D interactive lessons, sample question papers and take mock tests for all the CBSE Class 8 subjects and do a comprehensive exam preparation.

We hope this article on NCERT Solutions for Square and Square Roots Exercise 6.3 Class 8 Maths was helpful to you. For any further doubts or queries, write to us in the comment below and we will get back to you at the earliest.

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