Mathematics Short Tricks/ SQUARE ROOT Tricks for Placement tricks.
Mathematics Short Tricks/ SQUARE ROOT Tricks for Placement tricks.
Contents [hide]
- 1 Square Root Tricks for Quick Calculation – Placement Exam Tips
- 2 What is a Square Root?
- 3 Square Root Short Tricks for Quick Calculation:
- 4 1. Perfect Square Method:
- 5 2. Estimation Method for Non-Perfect Squares:
- 6 3. Division Method (Long Division):
- 7 4. Using Unit Digit Analysis:
- 8 5. Quick Trick for Numbers between 40-60:
- 9 6. Shortcut for Decimal Square Roots:
- 10 Practice Questions:
- 11 Mathematics Short Tricks/ SQUARE ROOT Tricks for Placement tricks.
- 12 Short tricks to calculate square roots – googleapis.com
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.
- Example: 144=12\sqrt{144} = 12
- Example: 81=9\sqrt{81} = 9
2. Estimation Method for Non-Perfect Squares:
Estimate between which two perfect squares the number lies.
- Example: 50\sqrt{50} lies between 72=497^2 = 49 and 82=648^2 = 64.
Approximate value: 7.1 or 7.2
3. Division Method (Long Division):
Used for precise square root calculation for large numbers.
- Example: 324\sqrt{324}
Divide the number into pairs from right to left: 3 | 24
Try 11 (1 × 1 = 1) → Subtract (3 – 1 = 2) → Bring down 24 → Try 8 (28 × 8 = 224)
Answer: 18
4. Using Unit Digit Analysis:
Perfect squares end in 0, 1, 4, 5, 6, 9. Use this to find the square root.
- Example: Find 784\sqrt{784}
Last digit 4 means root ends in 2 or 8.
282=78428^2 = 784 ⇒ Answer: 28
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.
- Example: 47\sqrt{47}
Nearest perfect square = 49 (7²)
49−47=249 – 47 = 2
47≈7−214=7−0.14=6.86\sqrt{47} \approx 7 – \frac{2}{14} = 7 – 0.14 = 6.86
6. Shortcut for Decimal Square Roots:
To find the square root of decimals, make pairs from the decimal point.
- Example: 0.0049\sqrt{0.0049}
Pairs: 4949 — Square root of 49 is 7
Decimal places = 4, so square root will have 2 decimal places.
Answer: 0.07
Practice Questions:
- 361\sqrt{361} = ?
- 225\sqrt{225} = ?
- 0.0025\sqrt{0.0025} = ?
- 18\sqrt{18} (approx.) = ?
- 625\sqrt{625} = ?
If you need more detailed methods or have specific questions, just let me know!
