**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.

6.1 | Introduction | 6.5.1 | Finding square roots |

6.2 | Properties of Square Numbers | 6.5.2 | Finding square roots through repeated subtraction |

6.3 | Some More Interesting Patterns | 6.5.3 | Finding square roots through prime factorisation |

6.4 | Finding the Square of a Number | 6.5.4 | Finding square roots by division method |

6.4.1 | Other patterns in squares | 6.6 | Square Roots of Decimals |

6.4.2 | Pythagorean triplets | 6.7 | Estimating Square Root |

6.5 | Square Roots |

**Also check,**

### 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.

**DOWNLOAD NCERT SOLUTIONS FOR SQUARE & SQUARE ROOTS PDF**

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

**Chapter 1 – Rational Numbers****Chapter 2 – Linear Equations in One Variable****Chapter 3 – Understanding Quadrilaterals****Chapter 4 – Practical Geometry****Chapter 5 – Data Handling****Chapter 7 – Cubes and Cube Roots****Chapter 8 – Comparing Quantities****Chapter 9 – Algebraic Expressions and Identities****Chapter 10 – Visualizing Solid Shapes****Chapter 11 – Mensuration****Chapter 12 – Exponents & Powers****Chapter 13 – Direct and Inverse Proportions****Chapter 14 – Factorization****Chapter 15 – Introduction to Graphs****Chapter 16 – Playing with Numbers**

**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 *n*^{2}, where *n *is
also a natural number, then *m *is a **square number**. For example: 4
can be expressed as 2 × 2 = 2^{2}, 9 can be expressed as 3 × 3 = 3^{2}.

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

**Properties of Square Numbers:**

- If a number ends in 0, 1, 4, 5, 6 or 9, then it must be a square number
- If a number has 1 or 9 in the units place, then it’s square ends in 1. For example: 9
^{2}= 81, 11^{2}= 121, 19^{2}= 361, 21^{2}= 441 - 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:

**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:

**Practice 8th CBSE Exam Questions**

**Methods to find Square Root:**

- Through Prime Factorisation
- 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.

### 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.

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

**DOWNLOAD IMPORTANT MATHS FORMULAS FOR CLASS 8**

### 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

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**

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