Math Problem Statement
Evaluate each of the following: a) cube root of 125, b) negative cube root of 64, c) cube root of -343.
Solution
It appears that you've uploaded the same image again. I've already provided the solutions to the problems shown in your image:
a)
b)
c)
Would you like more clarification on any of these? Or are you ready to move forward with additional questions or explanations?
Here are 5 follow-up questions:
- What is ?
- How would you find without a calculator?
- Why does result in a negative number?
- Can cube roots of fractions be calculated the same way as whole numbers?
- What is the cube root of 1, and why?
Tip: When dealing with cube roots of negative numbers, remember that the result will always be negative.
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Math Problem Analysis
Mathematical Concepts
Algebra
Cube Roots
Negative Numbers
Formulas
cube_root(x) = x^(1/3)
-cube_root(x) = -(x^(1/3))
Theorems
For cube roots, the result can be positive or negative depending on the original number. Negative numbers return negative results for cube roots.
Suitable Grade Level
Grades 6-8