What is Cube Root?
A cube root of a number is a value that, when multiplied by itself three times, gives the original number. For example, the cube root of 8 is 2, because 2×2×2=8.
Formula of Cube Root
The cube root of a number x is represented as ∛x. . There is no specific formula for extracting a cube root other than performing the operation ∛x.
Solved Cube Root Questions with Answers
- Question: Find the cube root of 27. Answer: ∛27=3, because 3×3×3=27.
- Question: What is the cube root of 125? Answer: ∛125=5, as 5×5×5=125.
- Question: Calculate the cube root of -64. Answer: ∛−64=−4 because (−4)×(−4)×(−4)=−64.
FAQs
- Q: Can cube roots be negative?
- A: Yes, the cube root of a negative number is also negative.
- Q: How is the cube root different from a square root?
- A: The cube root involves three multiples of the number (cubing), whereas the square root involves two (squaring).
- Q: Is there a standard calculator function for cube roots?
- A: Yes, most scientific calculators have a function to calculate cube roots, often denoted as ∛𝑥 or x1/3
Cube roots are widely used in mathematics, physics, and engineering to solve various problems involving volumes and densities.