Square root of ANY number instantly - shortcut math. | Summary and Q&A

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May 5, 2016
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tecmath
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Square root of ANY number instantly - shortcut math.

TL;DR

Learn how to calculate the square root of any number quickly and accurately using a simple method.

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Key Insights

  • ❎ The method for finding the square root involves finding the closest perfect square and taking its square root as the whole number part.
  • ❎ The difference between the given number and the perfect square is divided by twice the whole number answer to determine the decimal part of the square root.
  • 😚 The resulting answer is a close approximation to the actual square root but may not be completely accurate.
  • 💯 Knowledge of perfect squares is necessary to apply the method effectively.
  • ⏫ It is recommended to practice and double-check the results to ensure accuracy.
  • 💄 The method is simple and quick, making it useful for everyday calculations.
  • 🫵 The video provides multiple examples to help viewers understand and practice the method.

Transcript

good day welcome to Tech math Channel what we're going to be having a look at in this video is how to work out the square root of any number uh fairly instantly too I mean these don't have to be perfect squares either okay uh so I'll give you an example of this um what is a square root of 87 now this does not have a perfect square okay so how fast ... Read More

Questions & Answers

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

The method involves finding the closest perfect square below the given number and taking its square root as the whole number part. The difference between the given number and the perfect square is divided by twice the whole number answer.

Q: Is the method accurate?

The method provides a close approximation but may not be 100% accurate. The resulting answer is usually very close to the actual square root of the number.

Q: Does the method require knowledge of perfect squares?

Yes, the method assumes some familiarity with perfect squares. Knowing the squares of numbers up to a certain point is necessary to find the closest perfect square below the given number.

Q: Can you provide an example of using the method?

Sure, let's find the square root of 87 using the method. The closest perfect square below 87 is 81, which has a square root of 9. The difference between 87 and 81 is 6. Doubling the whole number answer, 9, gives us 18. So the answer is 9.33, which is quite close to the actual square root of 87.

Summary & Key Takeaways

  • The video teaches a method to quickly calculate the square root of any number.

  • The method involves finding the closest perfect square below the given number, determining the difference, and doubling the square root of the perfect square.

  • The resulting answer may not be 100% accurate, but it is a close approximation.

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