Find Square Root of Any Number in Just 5 Seconds

Duration: 9 min

This video lesson is available to enrolled students.

Return to /learn/RSSB-SENIOR-COMPUTER-INSTRUCTOR/paper-1-basic-numeracy/speed-mathematics-and-basic-mathematics/speed-maths/asset-find-square-root-of-any-number-in-just-5-seconds after enrolling

Inside: a video lesson and guided study material.

Module outline

  1. About the Course: About the Course
  2. Paper-1 & 2 | Basic Numeracy: अनुपात और समानुपात / Ratio and Proportion, Divisibility Rules, मिश्रण और एलिगेशन / Mixture and Alligation, Permutation and Combination, Logarithm, संख्या पद्धति / Number System, महत्तम समापवर्तक और लघुत्तम समापवर्त्य / HCF and LCM, Sequence and Series (Series), समय, चाल और दूरी / Time, Speed and Distance, प्रतिशत / Percentage, औसत / Average, घन क्षेत्रमिति / Solid Mensuration, Age Problems, Arithmetic, Statistics, Probability, लाभ, हानि और बट्टा / Profit, Loss and Discount, साधारण और चक्रवृद्धि ब्याज / Simple and Compound Interest, Partnership, Speed Mathematics and Basic Mathematics, Algebra, सरलीकरण, घातांक और करणी / Simplification, Indices and Surds, समय और कार्य / Time and Work, Pipe and Cistern, RSSB Specific Videos - Basic Numeracy, समुच्चय, संबंध, फलन और विविक्त गणित / Sets, Relations, Functions and Discrete Mathematics, संख्या पद्धति और संख्या सिद्धांत / Number Systems and Number Theory, निर्देशांक ज्यामिति, सदिश और त्रिविमीय ज्यामिति / Coordinate Geometry, Vectors and 3D Geometry, बहुपद, समीकरण और सम्मिश्र संख्याएँ / Polynomials, Equations and Complex Numbers
  3. Paper-1 & 2 | Data Interpretation: आँकड़ा निर्वचन / Data Interpretation
  4. Paper-1 & 2 | General Mental Ability: Mental Ability, RSSB Specific Videos - Mental Ability
  5. Paper-1 & 2 | Logical Reasoning and Analytical Ability: श्रेणी / Series, कूट लेखन एवं कूट वाचन / Coding-Decoding, Data Sufficiency, अशाब्दिक तर्क / Non-Verbal Reasoning, Syllogisms, बैठक व्यवस्था एवं पहेलियाँ / Seating Arrangement and Puzzles, रक्त संबंध / Blood Relations, दिशा एवं दूरी / Direction and Distance, Analytical Reasoning (Counting Figures Reasoning), गणितीय संक्रियाएँ एवं लुप्त संख्या / Mathematical Operations and Missing Numbers, कैलेंडर एवं घड़ी / Calendar and Clock, Clock, घन, पासा एवं आकृतियों की गिनती / Cubes, Dice and Figure Counting, वेन आरेख, न्याय वाक्य एवं असमानता / Venn Diagrams, Syllogism and Inequalities, सादृश्यता एवं वर्गीकरण / Analogy and Classification, क्रम एवं रैंकिंग / Order and Ranking, कथन आधारित तार्किक विवेचन / Statement-Based Reasoning, Data Arrangement, वर्णमाला एवं संख्या परीक्षण / Alphabet and Number Test, Crypt Arithmetic
  6. Paper-1 & 2 | Decision Making and Problem Solving: आँकड़ों की पर्याप्तता एवं निर्णय क्षमता / Data Sufficiency and Decision Making
  7. Paper-1 | General Science: वैज्ञानिक उपलब्धियाँ और अनुसंधान / Scientific Achievements and Research, Biology, Chemistry, RSSB Specific Videos
  8. Paper-1 | General Awareness: राज्य विशेष सामान्य ज्ञान / State-Specific General Knowledge, समसामयिकी / Current Affairs
  9. Paper-2 | Fundamentals of Computer: Basics of COA, Number System, Floating Point Rep, Number Representation
  10. Paper - 2 | Digital Logic Systems: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits
  11. Paper-2 | Operating Systems: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Deadlock, Threads & Process Creation, Memory Management, Virtual Memory, Disc Scheduling, File Management, Linux OS, Distributed Systems
  12. Paper-2 | Database Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, Relational Algebra, SQL, Relational Calculus, File Organization & Indexing, Transaction Management, Concurrency Control
  13. Paper-2 | Data Structures: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  14. Paper-2 | C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  15. Paper 2 | Oops, C++, Java: Language Design, OOPS with C++, Java, .Net Programming, Java Fundamentals
  16. Paper 2 | Python: Introduction to Python, Tokens, Variables, Data Types, I/O, Operators & Expressions, Control Flow & Looping, Collections & Strings, Functions & Modules, File Handling & Data Analysis
  17. Paper 2 | Emerging Trends and AI: Emerging Tech Trends, कंप्यूटर के मूल सिद्धांत / Computer Fundamentals, व्यापार, विपणन एवं उपभोक्ता संरक्षण / Trade, Marketing and Consumer Protection, कंप्यूटर नेटवर्क / Computer Networks
  18. Paper-2 | Algorithms: Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Advanced Algorithms
  19. Paper 2 | Data Communication and Network Security: Introduction to CN, Data Communication, DLL: Access Control, DLL: Flow Control, DLL: Error Control, Data Link Layer - Ethernet, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Net Layer:Routing Protocol, Transport Layer Services, TL: Congestion & UDP, Application Layer, Hardware basics, Network Security, Ethical Hacking
  20. Paper-2 I Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  21. Paper-2 | Computer Organization and Architecture: Cache Memory Organization, Input Output Organisation, Instr Formats & Modes, Control Unit Design, Register Transfer and Microoperations
  22. Paper-2 | Web Development: JavaScript-Basics, HTML Basics, CSS, XML
  23. Pedagogy: वृद्धि और विकास / Growth and Development, Concept of Pedagogy, संज्ञानात्मक प्रक्रियाएँ / Cognitive Processes, विकास के सिद्धांत / Theories of Development, समावेशी शिक्षा / Inclusive Education, Experiential Pedagogy, समाजीकरण और जेंडर / Socialisation and Gender, National Education Policy (NEP) 2020
  24. Live Sessions: RSSB Live Sessions
  25. RSSB Paper 1 - Full Mock Tests:
  26. RSSB Paper 2 - Full Mock Tests:
  27. SCI Previous Year Papers:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video, titled 'Speed Maths', teaches a shortcut method for estimating the square root of a number. The instructor, Yash Jain Sir, begins by introducing the topic and then presents a table of squares from 1 to 10. The core of the lesson is a rule for determining if a number is a perfect square based on its unit digit: if the unit digit is 2, 3, 7, or 8, it cannot be a perfect square; if it is 0, 1, 4, 5, 6, or 9, it may be. The method then uses a memorization table to find the possible unit digits of the square root. The instructor demonstrates this by solving for the square roots of 784, 7569, and 15625, showing how to narrow down the answer to two possibilities and then use the 'fingers' method to determine the correct one. The video concludes with a promotional message for a placement preparation course.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title card reading 'SPEED MATHS' against a blue, digital background. It then transitions to a presentation slide with a space-themed background featuring planets, rockets, and stars. The main title on the slide is 'MATHEMATICS CALCULATION ON FINGER TIPS'. In the bottom right corner, the instructor, Yash Jain Sir, is visible in a small window. He introduces the topic of the video, which is a trick for calculating square roots quickly. The slide also identifies him as a 'KNOWLEDGE GATE EDUCATOR'.

  2. 2:00 – 5:00 02:00-05:00

    The video transitions to a new slide titled 'TRICK-1' and 'SQUARE ROOT OF ANY NUMBER'. The instructor begins by showing a table of squares from 1 to 10. He then explains a rule for perfect squares based on the unit digit. A slide titled 'PERFECT SQUARE' appears, stating: 'If a number has 2,3,7,8 as its unit digit then it's not a perfect square.' and 'If a number has 0,1,4,5,6,9 as its unit digit then it MAY be a perfect square.' The instructor demonstrates this by writing the number 784 and noting its unit digit is 4, which means it could be a perfect square. He then uses the table to show that the unit digit of the square root must be either 2 or 8, as 2²=4 and 8²=64.

  3. 5:00 – 9:27 05:00-09:27

    The instructor presents a 'MEMORISE THIS' table that correlates the unit digit of a number to the possible unit digits of its square root. For example, if the unit digit of the question is 4, the answer could be 2 or 8. He then applies this to the number 784, writing the square root symbol and the number. He draws a tree diagram to show the two possibilities: 2 and 8. He then demonstrates the 'fingers' method to determine the correct answer. For 784, he mentally divides the number into 7 and 84. He knows that 2²=4 and 3²=9, so the tens digit must be 2. He concludes the square root is 28. He repeats this process for 7569 and 15625, showing the same method. The video ends with a promotional slide for 'PLACEMENT PREPARATION' and a 'THANKS FOR WATCHING' screen.

The video presents a structured, step-by-step method for quickly estimating the square root of a number. It begins by establishing a foundational rule based on the unit digit of a number to determine if it can be a perfect square. This is followed by a memorization table that links the unit digit of a number to the possible unit digits of its square root. The core of the method, the 'fingers' technique, combines this knowledge with a simple division of the number to find the tens digit, allowing the user to narrow down the answer to two possibilities and then select the correct one. The lesson is taught with clear examples and visual aids, making it accessible for students looking to improve their mental math skills.

Loading lesson…