Fast Math | Vedic Mental Math Tricks - Square Roots 02 | Don't Memorise

TL;DR

Learn a technique to quickly find the square root of numbers, even large ones.

Transcript

we have to find the square root of 8,836 using the technique we had seen in the previous video to use the technique we need to know the squares of the first 10 digits and we also know that the square root of a four-digit number will always be two digits long and the number 8,836 will give us the digits we draw a bar over two digits from the right a... Read More

Key Insights

• 🫚 The square root of a four-digit number is always two digits long and can be found using a specific technique.
• ❎ By comparing the given number with the squares column and performing calculations, both the 10th and unit digits of the square root can be determined.
• #️⃣ The technique can also be applied to five-digit numbers if the squares of slightly higher numbers are known.

Questions & Answers

Q: How does the technique for finding the square root work?

The technique involves using the squares of the first 10 digits and drawing a bar over two digits from the right. By comparing with the squares column and performing calculations, the square root can be determined.

Q: How are the 10th and unit digits of the square root determined?

The 10th digit is determined by finding the lower square between two squares that the given number lies between. The unit digit is determined by comparing the product of the 10th digit and its successor with the number in the middle, choosing the smaller or larger digit accordingly.

Q: Can this technique be used for five-digit numbers as well?

Yes, the technique can be extended to five-digit numbers if the squares of slightly higher numbers are known. The process of finding the square root remains the same, comparing with the squares column and performing calculations.

Q: How can the square root be found for non-perfect square numbers?

For non-perfect square numbers, the technique can still be applied. The process involves approximating the square root using the known squares and performing the calculations as discussed.

Summary & Key Takeaways

• The video explains a technique to find the square root of a number using squares of the first 10 digits.

• The square root of a four-digit number is always two digits long, and a bar is drawn to separate the digits.

• By comparing the digits with the squares column and performing calculations, both the 10th and unit digits of the square root can be determined.