How to Find Out Square Root by Vedic Maths: Step-by-Step Guide for Students

Finding square roots might seem tricky, but with Vedic Maths, it becomes a quick and logical process. This step-by-step guide will help students understand how to find the square root of perfect squares using one of the most efficient mental math methods.

What Is Vedic Maths?

Vedic Maths is an ancient Indian system of calculations that uses simple sutras (formulas) to perform math operations quickly. One of these techniques helps us find square roots of numbers mentally, especially when the number is a perfect square.

Why Use Vedic Maths for Square Roots?

• It speeds up calculation time
• Improves mental arithmetic
• Reduces reliance on calculators
• Makes math fun and engaging for students

Vedic Maths not only helps with square roots but also strengthens your child’s overall understanding of numbers. Check out this parent’s guide to understand the concept of numbers to support your child’s early math skills.

Step-by-Step Method to Find Square Root by Vedic Maths

This method works best for perfect square numbers (e.g., 144, 625, 1764).

Example: Find the square root of 2025

Step 1: Check the number of digits

• 2025 has 4 digits
• So, the square root will have 2 digits

Step 2: Focus on the last two digits (25)

• Which numbers when squared end in 25?
  • 5² = 25
  • So, the unit digit of the square root is 5

Step 3: Look at the remaining part (20)

• Which number squared is closest to 20 without exceeding it?
  • 4² = 16
  • 5² = 25 (too big)
  • So, the tens digit is 4

👉 Final Answer: 45

Check: 45 × 45 = 2025 ✅

Another Example: Find the square root of 1521

• Last two digits = 21 → Only 9² = 81 and 3² = 9 end in 1. So possible unit digits: 1 or 9
• Remaining = 15 → Closest square below 15 is 3² = 9 (tens digit = 3)
• Try 39: 39² = 1521 ✅

Answer: 39

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If your child is ready to go deeper into mastering square roots with Vedic Maths, our Level 6 learning book by Color Pencil is the perfect next step. Designed to build confidence and speed, this book features:

• Square roots and halving using Vedic methods
• Two-digit vs. two-digit multiplication
• Special multiplication techniques
• Three-digit division
• Divisibility checks for 2, 3, 5, 6, 9, and 10
• Vinculum number operations—all within the 1 to 1000 range

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Tips for Success

• This method works best for perfect squares
• Practice with 2-digit and 3-digit square numbers first
• Always verify your answer by squaring it
• Learn squares of numbers from 1 to 25 for faster recall

Making math enjoyable can greatly enhance your child’s learning experience. Discover simple tricks to make kids like math and motivate them to master techniques like Vedic Maths for square roots.

Feeling Overwhelmed? Let’s Talk! Join Our Parent Forum and Get Expert Advice & Support!

Frequently Asked Questions

Q1. Can this method be used for non-perfect squares?

No, it’s mainly for perfect square numbers. For non-perfect squares, other approximation methods are used.

Q2. Is this method suitable for young learners?

Yes, especially for students in middle school and above who know basic squares.

Q3. How fast can students learn this trick?

With 15–20 minutes of daily practice, students can master it in a week!

Q4. Is this method used in competitive exams?

Yes, it’s a time-saving technique often used in exams like Olympiads, SSC, and banking tests.

Q5. Where can I find more examples?

Stay tuned to our blog series on Vedic Maths, or request a printable worksheet below!

📄 Practice Material

Looking to put this method into action? Download these helpful resources:

• 📃 Download the Practice Worksheet with 20 Problems
• 🔒 Download the Answer Key for the Worksheet

Use these to strengthen your skills and track your progress!

Conclusion

Using Vedic Maths to find square roots makes math simpler and faster. With a bit of practice, students can solve square root problems in seconds—no calculator needed! Try it out today and feel the difference in your speed and confidence.