Math Problem Statement

\sqrt[3]{216} =

Solution

The cube root of 216 is:

2163=6\sqrt[3]{216} = 6

This is because 63=6×6×6=2166^3 = 6 \times 6 \times 6 = 216.

Let me know if you'd like further details or have any questions!

Here are some related questions you might find interesting:

  1. What is the cube root of 512?
  2. How do you simplify cube roots in general?
  3. What is the relationship between cube roots and cube numbers?
  4. How do cube roots apply in real-world problems like volume calculations?
  5. Can you find the cube root of negative numbers?

Tip: Cube roots are useful for solving equations involving volumes, such as finding the side length of a cube from its volume.

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Math Problem Analysis

Mathematical Concepts

Cube Root
Exponents

Formulas

\sqrt[3]{x} = x^{1/3}

Theorems

Cube Root Theorem

Suitable Grade Level

Grades 6-8