Math Problem Statement
Find the real-number root using a calculator. Round your answer to the nearest thousandth. \( \sqrt[3]{942} \)
Solution
To solve and round to the nearest thousandth, we can use a calculator. The cube root of 942 is computed as follows:
So, the real-number root of , rounded to the nearest thousandth, is 9.810.
Would you like further explanation or help with another problem? Here are some related questions for practice:
- What is the cube root of 729?
- How can you estimate cube roots without a calculator?
- What is the difference between cube roots and square roots?
- How would you solve by hand?
- What are the applications of cube roots in real-life scenarios?
Tip: When rounding to the nearest thousandth, ensure you look at the fourth decimal place to decide whether to round up or stay the same.
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Math Problem Analysis
Mathematical Concepts
Cube roots
Rational numbers
Rounding to the nearest thousandth
Formulas
\( \sqrt[3]{x} \): Cube root of a number
Theorems
Properties of radicals
Suitable Grade Level
Grades 8-10