What is the cube root of 6859?
Understand the Problem
The question is asking for the cube root of the number 6859, which is to find a number that, when multiplied by itself twice, equals 6859.
Answer
The cube root of 6859 is $19$.
Answer for screen readers
The cube root of 6859 is $19$.
Steps to Solve
-
Identify the cube root
We need to find a number $x$ such that $x^3 = 6859$. -
Estimate the cube root
Start with an estimation. The cube root of a number can often be estimated by finding nearby perfect cubes. We know that:
$$ 19^3 = 6859 $$
So, let's check this calculation. -
Verify the calculation
Calculate $19 \times 19 \times 19$:
First, calculate $19 \times 19$:
$$ 19 \times 19 = 361 $$
Then, multiply by $19$ again:
$$ 361 \times 19 = 6859 $$
Thus, we confirm that $19$ is indeed the cube root.
The cube root of 6859 is $19$.
More Information
The number $19$ multiplied by itself twice produces $6859$. Cube roots are particularly useful in various fields like engineering and physics for calculating volumes and dimensions.
Tips
- Forgetting to verify: A common mistake is to assume the answer without verifying the multiplication. Always confirm your calculations.
- Incorrect estimations: Misestimating can lead to being far off, so it's important to use nearby perfect cubes for accurate guesses.
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