How to Quickly Calculate the Square Root of Any Number

TLDRLearn a quick method to calculate the square root of any number, even if it's not a perfect square.

Key insights

💡The first step is to identify the closest perfect square below the number you want to find the square root of.

🔍Next, find the difference between the number and the perfect square.

✖️Double the whole number part of the square root and write it down.

Add the double of the whole number to the difference obtained earlier.

🔃This value is an approximation of the square root of the original number.

Q&A

Is this method accurate?

While this method is fairly accurate, it may not be 100% precise. However, the approximations obtained are usually very close to the actual square root.

Does this method work for all numbers?

Yes, this method can be used to calculate the square root of any number, even if it's not a perfect square.

What if the number is a perfect square?

If the number is a perfect square, its square root can be obtained without calculating any approximations.

Can I use this method to find the square root of negative numbers?

No, this method only applies to non-negative numbers. The square root of a negative number is not a real number.

Are there any shortcuts to simplify the process?

No, this method provides a relatively simple and efficient way to calculate square roots.

Timestamped Summary

00:01This video teaches a quick method to calculate the square root of any number.

00:35The first step is to find the closest perfect square below the number you want to calculate the square root of.

01:13Next, determine the difference between the original number and the perfect square.

01:38Double the whole number part of the square root and write it down.

02:03Add the double of the whole number to the difference obtained earlier to get an approximation of the square root.