Math Problem Statement

/root(3)(12)

Solution

The expression 123\sqrt[3]{12} represents the cube root of 12.

To approximate this:

1232.289\sqrt[3]{12} \approx 2.289

This means that 2.2893122.289^3 \approx 12. Would you like further details or have any questions?

Here are 5 related questions to explore:

  1. What is 273\sqrt[3]{27}?
  2. How do you solve 83\sqrt[3]{8}?
  3. Can you calculate 203\sqrt[3]{20}?
  4. What is the cube root of 64?
  5. How is the cube root of a negative number calculated, such as 273\sqrt[3]{-27}?

Tip: When calculating cube roots, remember that the cube root of a negative number is also negative!

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Math Problem Analysis

Mathematical Concepts

Algebra
Roots and Radicals
Cube Roots

Formulas

Cube root formula: \(\sqrt[3]{x}\)

Theorems

Properties of exponents
Cubic root properties

Suitable Grade Level

Grades 6-8