NCERT Solutions

Class 8 Maths

Squares and Square Roots

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Ex.6.4 Q.5

Find the least number which must be added to each of the following numbers so as to get

a perfect square. Also, find the square root of the perfect square so obtained:

1. 525              

2. 1750             

3. 252              

4. 1825                 

5. 6412

1. 525

Since remainder is 41. Therefore 222 < 525

Next perfect square number 232 = 529

Hence, number to be added = 529 – 525 = 4

So, 525 + 4 = 529

Hence, the square root of 529 is 23.

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2. 1750

Since remainder is 69. Therefore 412 < 1750

Next perfect square number 422 = 1764

Hence, number to be added = 1764 – 1750 = 14

So, 1750 + 14 = 1764

Hence, the square root of 1764 is 42.

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3. 252

Since remainder is 27. Therefore 152 < 252

Next perfect square number 162 = 256

Hence, number to be added = 256 – 252 = 4

So, 252 + 4 = 256

Hence, the square root of 256 is 16.

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4. 1825

Since remainder is 61. Therefore 422 < 1825

Next perfect square number 432 = 1849

Hence, number to be added = 1849 – 1825 = 24

So, 1825 + 24 = 1849

Hence, the square root of 1849 is 43.

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5. 6412

Since remainder is 12. Therefore 802 < 6412

Next perfect square number 812 = 6561

Hence, number to be added = 6561 – 6412 = 149

So, 6412 + 149 = 6561

Hence, the square root of 6561 is 81.

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Video solution:

Squares and Square Roots Class 8 Maths NCERT Chapter 6 NCERT Solutions

Solving NCERT textbook questions of Squares and Square Roots Class 8 Maths NCERT Chapter 6 is a crucial step to gauge your understanding of the concepts. It provides you with an opportunity to assess your grasp of the material after learning each chapter. We have already provided solutions to all the exercises in the NCERT textbook of Class 8 Maths Squares and Square Roots, available in various formats such as video, text, and downloadable PDFs. If you need assistance with any of the NCERT questions or any other academic topics, feel free to ask in the “Ask Questions” section of LearnoHub.com.

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Using the NCERT solutions module effectively can significantly enhance your learning experience and understanding of the subject matter. Here's a step-by-step guide on how to make the most out of the NCERT solutions:

  1. Attempt to Solve Yourself: Before looking at the solution, try to solve or answer the question independently. This practice will help you test your knowledge and problem-solving skills.
  2. Match with Our Solution: After attempting the question, compare your result and approach with the provided NCERT solution. This step allows you to identify any mistakes or gaps in your understanding.
  3. Refer to Solution Video (if needed): If you encounter difficulty or are unable to solve a question, you can refer to the NCERT solution video on Squares and Square Roots Class 8 Maths NCERT Chapter 6 to get a step-by-step explanation of the correct approach. Pay attention to the reasoning and methodology used in the video.
  4. Solve Again Yourself: Once you've understood the solution, attempt to solve the question again by yourself. Repetition and practice solidify your understanding of the concepts and improve retention.
  5. Avoid Memorization: Focus on understanding the underlying principles and concepts behind each solution. Avoid simply memorizing the solutions, as this may hinder your ability to apply the knowledge in different contexts.
  6. Attempt All Questions: Make an effort to attempt all the questions provided in the NCERT textbook. This comprehensive practice will help you cover the entire syllabus and reinforce your understanding across various topics. You may refer Class 8 Maths Squares and Square Roots Online Test on LearnoHub.com.
  7. Review and Revise: Regularly review the concepts and solutions you've learned. Revise your notes and practice regularly to retain the knowledge effectively. You may refer Squares and Square Roots Class 8 Maths Notes.
  8. Ask for Clarification: If you encounter any doubts or have questions about the solutions, don't hesitate to seek clarification on the “Ask Questions” section of LearnoHub.com. Squares and Square Roots Class 8 Maths NCERT Chapter 6 Questions.

By following these steps and actively engaging with the NCERT solutions module of Class 8 Maths Squares and Square Roots NCERT Chapter 6, you can improve your learning outcomes, develop a better grasp of the subject, and perform well in exams and other academic assessments. Remember that consistent practice, understanding, and application of knowledge are key to academic success.

NCERT solutions of Squares and Square Roots Class 8 Maths - all questions of all exercises are solved. Q. No. 1, 2, 3, and so on. Complete explanation and detailed solution makes them the best videos for Class 8 Maths Squares and Square Roots NCERT solutions.

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