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Cube root of ANY number in under 5 seconds Math Trick

43.5K views
•
January 28, 2022
by
tecmath
YouTube video player
Cube root of ANY number in under 5 seconds Math Trick

TL;DR

Learn how to easily calculate the cube root of any number using a simple three-step trick.

Transcript

good day welcome to the tech maath Channel I'm Josh in this video we're going to be looking at how to work out the cube root of any number fairly quickly too and these don't have to be perfect cubes it works for any number so what about an example we're going to work out the cube root of 70 that is to say we're looking for what number you multiply ... Read More

Key Insights

  • 👻 This method allows for quickly estimating the cube root of any number.
  • 🧊 It is based on finding the closest perfect cube and calculating the difference between the given number and that cube.
  • 😚 The trick involves squaring the closest perfect cube and multiplying it by three to obtain the final answer.
  • ❓ The method is not a precise calculation but provides fairly accurate results.
  • 💯 Memorizing the perfect cubes from 1 to 10 is helpful for using this trick effectively.
  • 😚 The trick can be modified to handle cases where the given number is less than the closest perfect cube.
  • 💁 Simplifying fractions and converting them to decimal form can further refine the answer.

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Questions & Answers

Q: How do you calculate the cube root of a number using this trick?

To calculate the cube root, first find the closest perfect cube to the given number. Then, calculate the difference between the given number and the perfect cube. Finally, square the closest perfect cube and multiply it by three to obtain the final answer.

Q: Does this method work for all numbers or just perfect cubes?

This method works for all numbers, not just perfect cubes. It relies on finding the closest perfect cube to the given number, which helps in approximating the cube root.

Q: Is this trick 100% accurate?

No, this trick is fairly accurate but not exact. It provides fairly good answers but may not be precise. It serves as a quick approximation method for calculating cube roots.

Q: What if the given number is less than the closest perfect cube?

If the given number is less than the closest perfect cube, you would subtract the given number from the perfect cube and include a negative sign in the answer. The remaining steps of the trick remain the same.

Summary & Key Takeaways

  • The video demonstrates a three-step trick for quickly calculating the cube root of any number.

  • Step 1: Find the perfect cube closest to the given number.

  • Step 2: Calculate the difference between the given number and the perfect cube.

  • Step 3: Square the closest perfect cube and multiply it by three to get the final answer.


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