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ICSE Class 8 Maths Selina Solutions Chapter 3 Squares and Square Roots

In this article we have provided ICSE Class 8 Maths Selina Solutions Chapter 3 prepared by our experts to help students to prepare better for their examinations.
authorImageNeha Tanna9 Jul, 2024
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ICSE Class 8 Maths Selina Solutions Chapter 3

ICSE Class 8 Maths Selina Solutions Chapter 3: Different techniques of computing the square roots of numbers are explained in Class 8 Maths, Chapter 3, "Square and Square Roots." Students must have a basic understanding of squares before moving on to learning about square roots. All it takes to find the square of any number is to multiply it by itself.

For instance: Three is the square root of nine since nine is obtained by multiplying three by itself. The squares of whole numbers, like 1, 4, 9, 16, etc., are the perfect squares. Positive numbers have two square roots to find the square roots of; a positive square root (referred to as the principal square root) and a negative square root. To do well on the yearly exam, Class 8 ICSE students should practice problems from the Selina textbook. Students can evaluate their errors and weak points and double-check their answers with the aid of the ICSE Class 8 Maths Selina Solutions PDF. However, they must have a firm grasp of the concept of "Square and Square Roots" before they can begin answering the questions.

ICSE Class 8 Maths Selina Solutions Chapter 3 Overview

ICSE Class 8 Maths Selina Solutions Chapter 3 on squares and square roots provides clear and detailed explanations for students to understand the fundamental concepts thoroughly. Each topic is systematically covered with step-by-step solutions, ensuring clarity in learning. The solutions not only help in solving textbook exercises but also offer additional practice questions to strengthen problem-solving skills. With accurate explanations and comprehensive coverage, these solutions are designed to aid students in mastering the concepts of squares and square roots effectively, preparing them confidently for exams and future mathematical challenges.

ICSE Class 8 Maths Selina Solutions Chapter 3 PDF

Here we have provided ICSE Class 8 Maths Selina Solutions Chapter 3 for the ease of students so that they can just download the pdf and use it easily without the internet. These ICSE Class 8 Maths Selina Solutions Chapter 3 will help students understand the chapter better.

ICSE Class 8 Maths Selina Solutions Chapter 3 PDF

ICSE Class 8 Maths Selina Solutions Chapter 3 Squares and Square Roots

Here we have provided ICSE Class 8 Maths Selina Solutions Chapter 3 for the ease of students so that they can prepare better for their upcoming exams -

Question 1.

Find the square of:

(i) 59 (ii) 6.3 (iii) 15 Solution:

Question 2. By splitting into prime factors, find the square root of:

(i) 11025

Solution:

(ii) 396900

Solution:

(iii) 194481

Solution:

Question 3.

(i) Find the smallest number by which 2592 is multiplied so that the product is a perfect square.

Solution:

(ii) Find the smallest number by which 12748 be multiplied so that the product is a perfect square.

Solution:

Question 4.

Find the smallest number by which 10368 is divided so that the result is a perfect square. Also, find the square root of the resulting numbers.

Solution:

Question 5. Find the square root of:

Question 6. Evaluate

Question 7. Evaluate:

=256=16(256=16×16=16)

Question 8. A man, after a tour, finds that he had spent the day as many rupees as the number of days he had been on tour. How long did his tour last, if he had spent in all 1,296?

Solution: Let the number of days he had spent =x Number of rupees spent in each day =x Total money spent

Question 9. Out of 745 students, a maximum is to be arranged in the school field for a PT. display, such that the number of rows is equal to the number of columns. Find the number of rows if 16 students were left out after the arrangement.

Solution: Total number of students =745 Students left after standing in arrangement =16 No. of students who were to be arranged = 745-16=729 The number of rows = No. of students in each row No. of rows
=3×3×3×3×3×3=3×3×3=27

Question 10. 13 and 31 are a strange pair of numbers such that squares 169 and 961 also mirror images of each other. Find two more such pairs.

Solution:

ICSE Class 8 Maths Selina Solutions Chapter 3 Exercise 3B

Question 1. Find the square root of:

(i) 4761

Solution:

Question 2. Find the square root of:

(i) 4.2025

Solution: ICSE Class 8 Maths Selina Solutions Chapter 3 Squares and Square Roots Exercise 1 B Question 2 (i) Required square root =2.05

(ii) 531.7636

Solution: ICSE Class 8 Maths Selina Solutions Chapter 3 Squares and Square Roots Exercise 1 B Question 2 (ii) Required square root =23.06

(iii) 0.007225

Solution: ICSE Class 8 Maths Selina Solutions Chapter 3 Squares and Square Roots Exercise 1 B Question 2 (iii) Required square root =0.085

Question 3. Find the square root of:

(i) 245 correct to two places of decimal.

Solution:

Benefits of ICSE Class 8 Maths Selina Solutions Chapter 3

Selina Solutions for ICSE Class 8 Maths Chapter 3 on squares and square roots offers several benefits for students:

Comprehensive Coverage : The solutions provide a thorough explanation of each topic covered in the chapter. This includes definitions, properties, and practical examples related to squares and square roots.

Step-by-Step Approach : Each problem is solved in a step-by-step manner, making it easier for students to understand the logic and methodology behind solving similar problems independently.

Clarity and Accuracy : The solutions ensure clarity in concepts and accuracy in calculations, helping students grasp the nuances of squares and square roots effectively.

Practice Material : Besides solutions to textbook exercises, Selina Solutions often includes additional practice questions and examples, which further reinforce the understanding of the chapter.

Exam Preparation : By providing a structured approach to solving problems, these solutions help students prepare for exams more efficiently. They can practice different types of questions and familiarize themselves with the exam pattern.

Self-Assessment : Students can use these solutions to self-assess their understanding of the chapter. By comparing their answers with the provided solutions, they can identify areas where they need more practice or clarification.

Time Management : Efficiently solving problems with the help of these solutions can improve students' time management skills during exams or assessments.

Concept Reinforcement : The solutions not only solve problems but also reinforce the underlying mathematical concepts related to squares and square roots, ensuring a stronger foundation for future topics in mathematics.

ICSE Class 8 Maths Selina Solutions Chapter wise List
Chapter 1 Rational Numbers Chapter 10 Direct and Inverse Variations
Chapter 2 Exponents Powers Chapter 11 Algebraic Expressions
Chapter 3 Squares and Square Roots Chapter 12 Algebraic Identities
Chapter 4 Cubes and Cube Roots Chapter 13 Factorisation
Chapter 5 Playing With Number Chapter 14 Linear Equations in One Variable
Chapter 6 Sets Chapter 15 Linear Inequations
Chapter 7 Percent and Percentage Chapter 16 Understanding Shapes
Chapter 8 Profit Loss and Discount Chapter 17 Special Types of Quadrilaterals
Chapter 9 Simple and Compound Interest Chapter 18 Constructions
Chapter 19 Representing 3D in 2D Chapter 21 Surface Area, Volume and Capacity
Chapter 20 Area of Trapezium and Polygon Chapter 22 Data Handling

ICSE Class 8 Maths Selina Solutions Chapter 3 FAQs

Which chapter is hard in maths class 8?

Comparing quantities is the most difficult chapter of class 8 maths.

What is rational number class 8?

In the number system, rational numbers are numbers that can be expressed as a ratio of two integers. They can also be the quotient of the ratio if the rational number is an integer. If the rational number is represented by the ratio p/q, then q must be a non-zero integer.

Is 70 percent good in class 8?

Generally, at the school level percentages below 65 are below average, percentages of 75-80 are considered average while above 95 is exceptional.

Is Class 8 very difficult?

Scoring well in this standard is also important as it will provide a confidence boost as you step into class 9.
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