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Mathematics Short Tricks/ SQUARE ROOT Tricks for Placement tricks.

Mathematics Short Tricks/ SQUARE ROOT Tricks for Placement tricks.

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Square Root Tricks for Quick Calculation – Placement Exam Tips

 What is a Square Root?

The square root of a number x is a number y such that y2=xy^2 = x.
Example:
25=5\sqrt{25} = 5 because 52=255^2 = 25.

Square Root Short Tricks for Quick Calculation:

1. Perfect Square Method:

If the number is a perfect square, simply find its square root.

2. Estimation Method for Non-Perfect Squares:

Estimate between which two perfect squares the number lies.

3. Division Method (Long Division):

Used for precise square root calculation for large numbers.

4. Using Unit Digit Analysis:

Perfect squares end in 0, 1, 4, 5, 6, 9. Use this to find the square root.

5. Quick Trick for Numbers between 40-60:

Use the formula:
(a2+b)≈a+b2a\sqrt{(a^2 + b)} \approx a + \frac{b}{2a}
where aa is the nearest perfect square root and bb is the difference.

6. Shortcut for Decimal Square Roots:

To find the square root of decimals, make pairs from the decimal point.

 Practice Questions:

  1. 361\sqrt{361} = ?
  2. 225\sqrt{225} = ?
  3. 0.0025\sqrt{0.0025} = ?
  4. 18\sqrt{18} (approx.) = ?
  5. 625\sqrt{625} = ?

If you need more detailed methods or have specific questions, just let me know!

Mathematics Short Tricks/ SQUARE ROOT Tricks for Placement tricks.

Short tricks to calculate square roots – googleapis.com

Sure! Here’s a collection of super fast and easy square root tricks — perfect for placements, aptitude tests, and competitive exams like SSC, Bank, Campus Recruitment, etc.


Mathematics Short Tricks: Square Root Tricks for Placements


Trick #1: Perfect Square Identification (Last Digit Trick)

Check if a number is a perfect square by its last digit.

Last Digit of Square Possible Last Digit of Number
0 0
1 1 or 9
4 2 or 8
5 5
6 4 or 6
9 3 or 7

Example: Is 784 a perfect square?


Trick #2: Find Square Root of a Perfect Square (2-Digit Numbers)

Example: √1521

  1. Last digit = 1, possible unit digits = 1 or 9

  2. Nearest square below 1521 is 1444 → √1444 = 38

  3. Try both:

    • 39² = 1521

    • So √1521 = 39


Trick #3: Estimation for Non-Perfect Squares

Example: √50

Use this for quick estimation in MCQs.


Trick #4: Square Root of Numbers Ending with 25

Formula:

√(x×100 + 25) = 10x + 5, if the number is a perfect square

Example: √1225


Trick #5: For Square Roots of Fractions

√(a/b) = √a / √b

Example: √(49/16) = √49 / √16 = 7 / 4


Practice Questions:

  1. √2025 = ?

  2. √1369 = ?

  3. Which is closer to √82: 9 or 9.1?

  4. Is 9801 a perfect square?


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