Math Problem Statement

Solve the equation: x = ∛27

Solution

The equation in the image is:

x=273x = \sqrt[3]{27}

This is asking for the cube root of 27. The cube root of a number is the value that, when multiplied by itself three times, gives the original number.

Since: 3×3×3=273 \times 3 \times 3 = 27

We have: x=3x = 3

Thus, the solution is: x=3x = 3

Would you like more details or have any questions about this?

Here are five related questions:

  1. What is the cube root of 64?
  2. How would you solve x=83x = \sqrt[3]{8}?
  3. What is the difference between square roots and cube roots?
  4. How do you find cube roots of negative numbers?
  5. Can all numbers have real cube roots?

Tip: To quickly calculate cube roots of perfect cubes, try memorizing cubes of small numbers (e.g., 23=82^3 = 8, 33=273^3 = 27, etc.).

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Math Problem Analysis

Mathematical Concepts

Algebra
Cube Roots

Formulas

x = ∛a
Cube Root Formula

Theorems

Basic Properties of Roots

Suitable Grade Level

Grades 6-8