The cube root of 0.000729 isa)0.09b)0.9c)0.21d)0.11Correct answer is o...
To find the cube root of 0.000729, we recognize that 0.000729 can be expressed as (0.09)3.
Therefore, the cube root of 0.000729 is 0.09, which confirms that option 1 (0.09), is the correct answer.
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The cube root of 0.000729 isa)0.09b)0.9c)0.21d)0.11Correct answer is o...
Understanding Cube Roots
The cube root of a number x is a value y such that y * y * y = x. To find the cube root of 0.000729, let's break it down step by step.
Identifying the Number
- The number we need to find the cube root of is 0.000729.
- We can rewrite this number in a more manageable form.
Expressing in Fractional Form
- 0.000729 can be expressed as 729 / 1,000,000.
- This helps in understanding the relationship between the numerator and denominator.
Finding the Cube Root of the Components
- Now, we can separately find the cube root of 729 and 1,000,000.
- Cube root of 729:
- 729 can be factored as 9 * 9 * 9 or 9^3.
- Therefore, the cube root of 729 is 9.
- Cube root of 1,000,000:
- 1,000,000 can be expressed as 100^3.
- Therefore, the cube root of 1,000,000 is 100.
Combining the Results
- Now, we combine the two results:
- Cube root of 0.000729 = (Cube root of 729) / (Cube root of 1,000,000)
- This gives us 9 / 100.
Final Calculation
- Therefore, 9 / 100 = 0.09.
Conclusion
- The cube root of 0.000729 is indeed 0.09, making option A the correct answer.