Find Square Root of Any Number in Just 5 Seconds

Duration: 9 min

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Inside: a video lesson and guided study material.

Module outline

  1. Quantitative Ability: Percentage, Profit and Loss, Ratio and Proportion (Ratios), Average, Time and Work, Speed Time and Distance, Simple Interest and Compound Interest, Age Problems, Number System, Divisibility Rules, HCF LCM, Algebra, Permutation and Combination, Probability, Data Interpretation, Logarithm, Sequence and Series (Series), Powers and Exponents (Surds and Indices), Speed Mathematics and Basic Mathematics
  2. Logical Reasoning: Seating Arrangements, Puzzle Solving (Puzzles), Data Arrangement, Coding Decoding, Blood Relations, Directions (Direction Test), Ranking, Order and Sequence, Data Sufficiency, Venn Diagram, Inequality, Series (Number and Letter Series) (Numerical Relations and Reasoning), Logical Sequence Of Words, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Selection Decision Table (Decision Making), Analogy, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning)
  3. Verbal Ability: Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Subject Verb Agreement (Verb Noun Agreement), Tenses, Articles, Preposition, Conjunction, Modals, Active Passive Voice (Voice), Direct and Indirect Speech, Vocabulary, Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Sentence Completion (Fill in the blanks), Sentence Correction (Error Correction), Cloze Test (Cloze Passage), Facts, Inference and Judgements
  4. Programming Fundamentals (Technical): C Fundamentals
  5. Data Structures (Technical): Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  6. Algorithms (Technical): Algorithm Analysis, Sorting Algorithms, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos, Time Complexity Analysis, Advanced Algorithms
  7. OOPs (Technical): Object Oriented Programming (OOPS)
  8. DBMS (Technical): Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, File Organization & Indexing, Relational Algebra, Relational Calculus, Transaction Management, Concurrency Control, Database Recovery, ORDBMS, Database Security & Authorization, Query Processing & Optimization, Enhanced Data Models, Data Warehousing & Mining, Big Data Systems, NoSQL
  9. SQL (Technical): SQL
  10. Operating Systems (Technical): Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Deadlock, Threads & Process Creation, Memory Management, Virtual Memory, Disc Scheduling, File Management, Windows OS, Linux OS, Security, Distributed Systems, Virtual Machines
  11. Computer Networks (Technical): Introduction to CN, Data Communication, DLL: Access Control, DLL: Flow Control, DLL: Error Control, DLL: Framing, 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, Mobile Technology, Cloud Computing and IoT, Cyber and Info Security
  12. Software Engineering (Technical): Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  13. Coding/Automata Round: Coding Questions by Yash Sir, C Programming by Yash Sir, Programming in C++, Java, Python for Placements by Yash Sir, Pseudo Codes
  14. Personality / Behavioral Assessment: Behavioral Assessment (Behavioral Competency Profiling) (Psychometric Test)
  15. Writing Assessment: English Writing Ability
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.

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