NCERT Solutions Class 8 Maths Chapter 6 Exercise 6.2
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The Central Board of Secondary Education (CBSE) is one of India’s main national school education boards. Thousands of students are enrolled in the CBSE. Mathematics is one of the compulsory subjects taught to Class 8 CBSE students. It is an essential component of the school curriculum and is essential for achieving success on the yearly exams. In Class 8, students are introduced to a variety of fresh concepts. Some of these are squares of numbers as well as their square roots. Students also need to use these concepts in their higher classes. As a result, Class 8 students must fully comprehend the concepts to do well in their annual examinations as well as in their future classes. Class 8 students may find the yearly exam to be very difficult. Students are frequently overwhelmed by the extensive syllabus in Class 8. They become extremely stressed out and anxious about finishing their coursework on time. Subsequently, they are less effective in exams and are unable to reach their full potential. They receive less than expected marks in the exams because they are unable to complete the question paper. However, they can significantly improve their performance with adequate examination preparation beforehand. They can manage their stress and perform well for the annual exam if given the right support and resources.
Usually, Class 8 students have trouble quickly locating the best preparation materials. They occasionally become confused about which study materials to use because there are so many readily available online. When faced with that kind of situation, Extramarks can support them. This problem is resolved by Extramarks by giving students access to the necessary tools for adequate exam preparation. It has some of the best teachers in the nation who provide appropriate instruction, make learning easier, and make the topics interesting to study. Additionally, it offers a variety of study resources that can assist students with all facets of their preparation. One of these resources is the Mathematics NCERT solutions, such as the NCERT Solutions For Class 8 Maths Chapter 6 Exercise 6.2.
One of the important concepts in Mathematics is the square of a number. It is widely used in a variety of mathematical problems. Students need to be able to find the square of a number quickly in order to solve these types of mathematical problems fast. One of the most helpful ways to do so is to read the NCERT textbook. Chapter 6 of the Class 8 Mathematics textbook deals with Squares and Square Roots. Students need to read this chapter thoroughly so that they can understand all the concepts related to Squares and Square Roots. Apart from that, they should solve the NCERT exercises to get enough practice with the questions that might appear in the exams. Class 8 Maths Chapter 6 Exercise 6.2 deals particularly with Finding the Square of a Number. Students can learn to find the square of a number without actually multiplying the number by itself. They can also learn about Pythagorean Triplets. A common challenge for students is locating the best resource to help them achieve their academic objectives. NCERT solutions give students the necessary and proper solutions to their educational needs. Students preparing for their yearly exams can now find NCERT Solutions For Class 8 Maths Chapter 6 Exercise 6.2, online at Extramarks. Another benefit is that even the CBSE itself recommends using the NCERT textbook. NCERT textbooks are used in the CBSE curriculum. Important questions can be found in abundance in textbooks. These questions frequently leave students perplexed, which reduces their confidence in the subject they are studying. Understanding the concepts taught in the first topic is crucial. Students would benefit from having a solid understanding of both basic and complex concepts when they have access to the NCERT Solutions For Class 8 Maths Chapter 6 Exercise 6.2. Students can also develop solid conceptual knowledge by finishing each topic. By analysing their answers using the solutions, they can also evaluate their abilities and make corrections.
The NCERT Solutions For Class 8 Maths Chapter 6 Exercise 6.2 on Extramarks can help students in numerous ways. Students will be helped in solving difficult problems by the thorough, stepbystep solutions offered in the NCERT Solutions For Class 8 Maths Chapter 6 Exercise 6.2. To solve such problems quickly, they must be divided into manageable pieces. The answer to this issue can be found in NCERT Solutions For Class 8 Maths Chapter 6 Exercise 6.2. Even the hardest subject is better understood by students when they use the NCERT textbook. By making comparisons of their answers to the NCERT Solutions For Class 8 Maths Chapter 6 Exercise 6.2, students can assess their level of preparation. Students can access the indepth and factchecked NCERT Solutions For Class 8 Maths Chapter 6 Exercise 6.2 on Extramarks. These solutions are offered by numerous websites, but their validity is still in doubt. The importance of the Class 8 exams necessitates that students use reliable study materials. The accuracy of Extramarks’ solutions has been confirmed by experienced teachers. Simple explanations are provided in the NCERT Solutions For Class 8 Maths Chapter 6 Exercise 6.2, and other exercises. It is advised that students solve and structure their answers in the most effective manner. They offer the clearest and most effective solutions to complex mathematical problems.
NCERT Solutions for Class 8 Maths Chapter 6 Squares and Square Roots (EX 6.2) Exercise 6.2
Students can easily download the PDF version of the NCERT Solutions For Class 8 Maths Chapter 6 Exercise 6.2 from the Extramarks website and mobile application.
NCERT Solutions for Class 8 Math Chapter 6 – Squares and Square Roots
The NCERT exercises are the most crucial resource for practising questions for the yearly exams. That is why students are frequently advised to solve the NCERT textbook’s exercise problems. In order to evaluate their answers, they additionally require thorough and accurate solutions. The NCERT solutions enable students to receive the support they require as they study for their exams. Using the NCERT Solutions For Class 8 Maths Chapter 6 Exercise 6.2, and other exercises will help students apply the concepts from Chapter 6 in a better and more precise manner. Teachers with advanced expertise created the thorough and errorfree NCERT Solutions For Class 8 Maths Chapter 6 Exercise 6.2. These solutions were developed taking into account the problemsolving abilities of Class 8 students. The difficult problems have been divided into smaller, more workable parts in order to make answering the questions in the exercises easier. Teachers frequently emphasise the importance of detailed, stepwise answers. Students must closely follow the steps in the NCERT Solutions For Class 8 Maths Chapter 6 Exercise 6.2, to get the best results. Since many of the methods of finding squares taught in the NCERT textbook are difficult for students to understand and remember, they are frequently unable to use them to solve the problems in the exercises. However, if students practice using the stepwise solutions in the NCERT Solutions For Class 8 Maths Chapter 6 Exercise 6.2, it will be easier for them to remember the methods and use them correctly.
NCERT Solutions for Class 8 Maths Chapter 6 Squares and Square Roots Exercise 6.2
Due to yearly exams, students should have access to a variety of questions and wellwritten solutions. The vast bulk of question banks base their content on NCERT textbook questions. Answering questions is much simpler when students have access to the NCERT Solutions For Class 8 Maths Chapter 6 Exercise 6.2. Consequently, they are better able to comprehend the ideas. When students are able to quickly and effectively learn new topics, they are better prepared for any exam. They have more time to study and can still focus on other learning objectives as a result. Students can advance in their preparation by comprehending the concepts provided in the NCERT solutions. Extramarks provides the NCERT Solutions For Class 8 Maths Chapter 6 Exercise 6.2, in PDF format on its website and mobile app so that students can access them and practice the questions whenever they want. Students who have access to the NCERT Solutions For Class 8 Maths Chapter 6 Exercise 6.2 can evaluate their actual learning and find out their strong and weak areas from the topic. Besides that, the NCERT Solutions For Class 8 Maths Chapter 6 Exercise 6.2 provide reviewed and analysed learning while assisting students in the growth of a broad range of skills, including logical and reasoning skills. The NCERT Solutions For Class 8 Maths Chapter 6 Exercise 6.2, also help students prepare effectively and successfully for their final exams. Therefore, it is regarded as an essential part of exam preparation.
NCERT Solutions for Class 8
It is crucial for Class 8 students to carefully study all the subjects. However, that is insufficient for students to achieve high test scores. To avoid mistakes and errors during the exam, students should practice numerous questions. Practising questions repeatedly also improves students’ ability to remember information. Students can easily do so with the help of Extramarks’ NCERT Solutions For Class 8 Maths Chapter 6 Exercise 6.2 and other exercises. Not only the NCERT Solutions For Class 8 Maths Chapter 6 Exercise 6.2, but NCERT solutions also are available for Class 8 students for all subjects and topics.
Given that they are written in straightforward language that all students can understand, NCERT solutions such as the NCERT Solutions For Class 8 Maths Chapter 6 Exercise 6.2 are helpful for students preparing for the annual examinations. The NCERT Solutions For Class 8 Maths Chapter 6 Exercise 6.2, have been written in a stepbystep fashion to aid students in passing their exams. NCERT solutions like the NCERT Solutions For Class 8 Maths Chapter 6 Exercise 6.2, available at Extramarks, were written using the most recent CBSE curriculum and guidelines. By following them, students will save time and avoid having to look elsewhere for information about the subjects covered in the CBSE curriculum or how exam marks are given in the examinations.
Q.1 Find the square of the following numbers.
(i) 32 (ii) 35 (iii) 86 (iv) 93 (v) 71 (vi) 46
Ans
$\begin{array}{l}\left(\mathrm{i}\right)\text{}{32}^{2}={(30\text{}+\text{}2)}^{2}\\ =(30\text{}+\text{}2)(30\text{}+\text{}2)\\ =30(30\text{}+\text{}2)+2(30\text{}+\text{}2)\\ =30\times 30+2\times 30+2\times 30+\text{}2\times 2\\ =900+120+4\\ =\text{}1024\\ \\ \left(\mathrm{ii}\right){35}^{2}={(30+5)}^{2}\\ =(30+5)(30+5)\\ =30(30+5)+5(30+5)\\ =30\times 30+5\times 30+5\times 30+\text{}5\times 5\\ =900+150+150+25\\ =\text{}1225\end{array}$
$\begin{array}{l}\left(\mathrm{iii}\right)\text{}{86}^{2}={(80+6)}^{2}\\ =(80+6)(80+6)\\ =80(80+6)+6(80+6)\\ =80\times 80+6\times 80+6\times 80+\text{}6\times 6\\ =6400+480+480+36\\ =7396\\ \text{}\\ \left(\mathrm{iv}\right)\text{}{93}^{2}={(90+3)}^{2}\\ =(90+3)(90+3)\\ =90(90+3)+3(90+3)\\ =90\times 90+3\times 90+3\times 90+3\times 3\\ =8100+270+270+9\\ =8649\\ \\ \left(\mathrm{v}\right)\text{}{71}^{2}\text{}={(70+1)}^{2}\\ =(70+1)(70+1)\\ =70(70+1)+1(70+1)\\ =70\times 70+1\times 70+1\times 70+1\times 1\\ =4900+70+70+1\\ =5041\end{array}$
$\begin{array}{l}\left(\mathrm{vi}\right)\text{}{46}^{2}={(40+6)}^{2}\\ =(40+6)(40+6)\\ =40(40+6)+6(40+6)\\ =40\times 40+6\times 40+6\times 40+6\times 6\\ =1600+240+240+36\\ =\text{}2116\end{array}$
Q.2 Write a Pythagorean triplet whose one member is
(i) 6 (ii) 14 (iii) 16 (iv) 18
Ans
$\begin{array}{l}\text{For any natural number}\mathrm{m}>\text{1},\\ \text{2}\mathrm{m},{\mathrm{m}}^{\text{2}}\text{1},{\mathrm{m}}^{\text{2}}+\text{1 forms a Pythagorean triplet}.\\ \left(\text{i}\right)\text{If we take}{\mathrm{m}}^{\text{2}}+\text{1}=\text{6},\text{then}{\mathrm{m}}^{\text{2}}=\text{5}\\ \text{The value of}\mathrm{m}\text{will not be an integer}.\end{array}$
$\begin{array}{l}\text{If we take}{m}^{\text{2}}\text{1}=\text{6},\text{then}{m}^{\text{2}}=\text{7}\\ \text{Again the value of}m\text{is not an integer}.\\ {\text{So, we try to take m}}^{\text{2}}\text{+ 1 = 6}\text{.}\\ {\text{Again m}}^{\text{2}}\text{= 5 will not give an integer value for m}\text{.}\\ \text{Let 2}m=\text{6}\Rightarrow m=\text{3}\\ \text{Therefore},\text{the Pythagorean triplets are}\\ \text{2}\times \text{3},{\text{3}}^{\text{2}}\text{1},{\text{3}}^{\text{2}}+\text{1 or 6},\text{8},\text{and 1}0.\end{array}$
$\begin{array}{l}\left(\text{ii}\right)\text{If we take}{\mathrm{m}}^{\text{2}}+\text{1}=\text{14},\text{then}{\mathrm{m}}^{\text{2}}=\text{13}\\ \text{The value of}\mathrm{m}\text{will not be an integer}.\\ \text{If we take}{\mathrm{m}}^{\text{2}}\text{1}=\text{14},\text{then}{\mathrm{m}}^{\text{2}}=\text{15.}\\ \text{Again the value of}\mathrm{m}\text{is not an integer}.\\ \text{Let 2}\mathrm{m}=\text{14}\Rightarrow \mathrm{m}=\text{7}\\ \text{Thus},{\mathrm{m}}^{\text{2}}\text{1}=\text{49}\text{1}=\text{48 and}{\mathrm{m}}^{\text{2}}+\text{1}=\text{49}+\text{1}=\text{5}0\\ \text{Therefore},\text{the required triplet is 14},\text{48},\text{and 5}0.\end{array}$
$\begin{array}{l}\left(\text{iii}\right)\text{If we take}{\mathrm{m}}^{\text{2}}+\text{1}=\text{16},\text{then}{\mathrm{m}}^{\text{2}}=\text{15}\\ \text{The value of}\mathrm{m}\text{will not be an integer}.\\ \text{If we take}{\mathrm{m}}^{\text{2}}\text{1}=\text{16},\text{then}{\mathrm{m}}^{\text{2}}=\text{17}\\ \text{Again the value of}\mathrm{m}\text{\hspace{0.17em}is not an integer}.\\ \text{Let 2}\mathrm{m}=\text{16}\Rightarrow \mathrm{m}=\text{8}\\ \text{Thus},{\mathrm{m}}^{\text{2}}\text{1}=\text{64}\text{1}=\text{63 and}{\mathrm{m}}^{\text{2}}+\text{1}=\text{64}+\text{1}=\text{65}\\ \text{Therefore},\text{the Pythagorean triplet is 16},\text{63},\text{and 65}.\end{array}$
$\begin{array}{l}\left(\text{iv}\right)\text{If we take}{\mathrm{m}}^{\text{2}}+\text{1}=\text{18},{\mathrm{m}}^{\text{2}}=\text{17}\\ \text{The value of}\mathrm{m}\text{will not be an integer}.\\ \text{If we take}{\mathrm{m}}^{\text{2}}\text{1}=\text{18},\text{then}{\mathrm{m}}^{\text{2}}=\text{19}\\ \text{Again the value of}\mathrm{m}\text{\hspace{0.17em}\hspace{0.17em}is not an integer}.\\ \text{Let 2}\mathrm{m}=\text{18}\Rightarrow \mathrm{m}=\text{9}\\ \text{Thus},{\mathrm{m}}^{\text{2}}\text{1}=\text{81}\text{1}=\text{8}0\text{and}{\mathrm{m}}^{\text{2}}+\text{1}=\text{81}+\text{1}=\text{82}\\ \text{Therefore},\text{the Pythagorean triplet is 18},\text{8}0,\text{and 82}.\end{array}$
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FAQs (Frequently Asked Questions)
1. Which chapter is covered by the NCERT Solutions For Class 8 Maths Chapter 6 Exercise 6.2?
The NCERT Solutions For Class 8 Maths Chapter 6 Exercise 6.2 cover the chapter Square And Square Roots Class 8 Exercise 6.2.
2. How many questions are solved in the NCERT Solutions For Class 8 Maths Chapter 6 Exercise 6.2?
The NCERT Solutions For Class 8 Maths Chapter 6 Exercise 6.2 provide solutions for the two questions in Exercise 6.2 Class 8 Maths including all the subparts.
3. Where are the NCERT Solutions For Class 8 Maths Chapter 6 Exercise 6.2 available?
The solutions for NCERT Maths Class 8 Chapter 6 Exercise 6.2 are available on the Extramarks website and smartphone app.