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NCERT Solutions Class 8 Maths Chapter 6 Squares & Square Roots Class 8 PDF

NCERT Solutions For Class 8 Maths Chapter 6: All CBSE Class 8 students who are looking for NCERT Solutions for Maths Chapter 6 can refer to this article. All solutions for the Squares And Square Roots chapter are prepared by top academic experts at Embibe. Moreover, these solutions have been written in an easy language so that any 8th class student can understand it. The best part is that we have provided the Class 8 Maths Solutions for Chapter 6 for free.

NCERT Solutions for Class 8 Maths for this chapter is a must for all students to obtain an excellent score in the examination. With the help of these solutions, Class 8 students will learn how to calculate the square of a number and how to perform square root on real numbers.

CBSE NCERT Solutions For Class 8 Maths Chapter 6

Solutions for the questions given in the NCERT Class 8 Maths Textbook will help you understand the topics better. These solutions will be very helpful during the final exam preparation. Before you check the solutions, let’s have an overview of the topics and subtopics in this chapter. Click on any topic to download its solutions as a PDF.

6.1Introduction6.5.1 Finding square roots
6.2Properties of Square Numbers6.5.2 Finding square roots through repeated subtraction
6.3Some More Interesting Patterns6.5.3Finding square roots through prime factorisation
6.4Finding the Square of a Number6.5.4 Finding square roots by division method
6.4.1Other patterns in squares6.6Square Roots of Decimals
6.4.2Pythagorean triplets6.7Estimating Square Root
6.5Square Roots

Also check,

CBSE Class 8 English SyllabusNCERT Class 8 English Book
CBSE Class 8 Maths SyllabusNCERT Class 8 Maths Book
CBSE Class 8 Science SyllabusNCERT Class 8 Science Book
CBSE Class 8 Social Science SyllabusNCERT Class 8 Social Science Book
CBSE Class 8 Hindi SyllabusNCERT Class 8 Hindi Book

CBSE NCERT Solutions for Class 8 Maths Chapter 6: Solved Exercises And In-Text Questions

Here are the solutions for the in-text questions and questions present in the exercises. Download the NCERT Solutions for 8th Class Maths Chapter 6 PDF. You can see that all solutions have been explained in a step-by-step manner and have been framed according to the CBSE marking scheme.

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 DOWNLOAD NCERT SOLUTIONS FOR SQUARE & SQUARE ROOTS PDF

Download CBSE Class 8 Solutions for Maths for other chapters from the table below:

CBSE NCERT Solutions For Class 8 Maths Chapter 6: Chapter Summary

Let us have a quick recap of Maths Chapter 8 – Squares and Square Roots. It will help you brush up the concepts that you have studied from your NCERT Book.

What are Square Numbers?

If a natural number m can be expressed as n2, where n is also a natural number, then m is a square number. For example: 4 can be expressed as 2 × 2 = 22, 9 can be expressed as 3 × 3 = 32.

The numbers 1, 4, 9, 16 … are square numbers. These numbers are also called perfect squares.

Properties of Square Numbers:

  1. If a number ends in 0, 1, 4, 5, 6 or 9, then it must be a square number
  2. If a number has 1 or 9 in the units place, then it’s square ends in 1. For example: 92= 81, 112= 121, 192= 361, 212= 441
  3. When a square number ends in 6, the number whose square it is will have either 4 or 6 in unit’s place. For example:
NCERT Solutions for Class 8 Maths Chapter 6

What is a Square Root?

Square root is that number which when multiplied by itself, gives the square number. It is the inverse operation of the square. The positive square root of a number is denoted by the symbol √. For example:

NCERT Solutions for Class 8 Maths Chapter 6

Methods to find Square Root:

  1. Through Prime Factorisation
  2. By Division Method

You will also learn the patterns of square numbers, Pythagorean triplets, different methods to find out the square root of a number, square roots of decimals and estimating the square roots.

DOWNLOAD IMPORTANT MATHS FORMULAS FOR CLASS 8

Class 8 Maths Chapter 6 Square & Square Roots: Preparation Tips

Students can follow the below mentioned preparation tips. This will help them in completing the chapter on time.

  1. Prepare a time table.
  2. Do not skip any topic while studying. If you do it, you might miss out some important topic.
  3. Practice all the questions in a separate notebook.
  4. Study regularly.
  5. Make a separate notebook for Mathematics practice. It will help you in keeping all the Mathematics practice work in one place.

FAQs Related To NCERT Solutions For Class 8 Maths Chapter 6

Here we have provided some of the frequently asked questions related to this chapter:

Q1: The squares of which of the following would be odd numbers?i. 431
ii. 2826
iii. 7779
iv. 82004

A: We know that the square of an odd number is odd and the square of an even number is even. So,
i) The square of 431 is an odd number.
ii) The square of 2826 is an even number.
iii) The square of 7779 is an odd number.
iv) The square of 82004 is an even number.

Q2: What will be the unit digit of the squares of the following numbers?
i. 81
ii. 272
iii. 799
iv. 3853
v. 1234

A: The unit digit of the square of a number having ‘a’ at its unit place ends with a×a.
i. The unit digit of the square of a number having digit 1 as unit’s place is 1.
∴ Unit digit of the square of number 81 is equal to 1.
ii. The unit digit of the square of a number having digit 2 as unit’s place is 4.
∴ Unit digit of the square of the number 272 is equal to 4.
iii. The unit digit of the square of a number having digit 9 as unit’s place is 1.
∴ Unit digit of the square of number 799 is equal to 1.
iv. The unit digit of the square of a number having digit 3 as unit’s place is 9.
∴ Unit digit of the square of number 3853 is equal to 9.
v. The unit digit of the square of a number having digit 4 as unit’s place is 6.
∴ Unit digit of the square of number 1234 is equal to 6.

Q3: The following numbers are obviously not perfect squares. Give reason.
i. 1057
ii. 23453
iii. 7928
iv. 222222
v. 64000

A: We know that natural numbers ending in the digits 0, 2, 3, 7 and 8 are not perfect squares.
i. 1057 ⟹ Ends with 7
ii. 23453 ⟹ Ends with 3
iii. 7928 ⟹ Ends with 8
iv. 222222 ⟹ Ends with 2
v. 64000 ⟹ Ends with 0

Q4: The squares of which of the following would be odd numbers?
i. 431
ii. 2826
iii. 7779
iv. 82004

A: Since the square of an odd number is odd and the square of an even number is even.
i. The square of 431 is an odd number.
ii. The square of 2826 is an even number.
iii. The square of 7779 is an odd number.
iv. The square of 82004 is an even number.

Q5: Without adding, find the sum.
i. 1 + 3 + 5 + 7 + 9
ii. 1 + 3 + 5 + 7 + 9 + I1 + 13 + 15 + 17 +19
iii. 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23

A: i) Sum of first five odd number = (5)2 = 25
ii) Sum of first ten odd number = (10)2 = 100
iii) Sum of first thirteen odd number = (12)2 = 144

TAKE CBSE CLASS 8 MATHS CHAPTER 6 MOCK TESTS HERE

Now that you are provided with all the necessary information regarding solutions for Class 8 Maths Chapter 6 – Square and Square Roots, we hope this detailed article is helpful.

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