Math Problem Statement

5 \sqrt[ 3 ]{ 81 \phantom{\tiny{!}}}

Solution

The given expression is 58135 \sqrt[3]{81}. This represents five times the cube root of 81.

Step-by-Step Solution:

  1. Understand the Expression: 5×8135 \times \sqrt[3]{81} The cube root of 81 is the number that, when multiplied by itself three times, gives 81.

  2. Find the Cube Root: 8134.326\sqrt[3]{81} \approx 4.326 Since 81 is not a perfect cube, the cube root will be an irrational number.

  3. Multiply by 5: 5×4.32621.635 \times 4.326 \approx 21.63

Final Answer:

581321.635 \sqrt[3]{81} \approx 21.63

Would you like a detailed breakdown or have any further questions?


Related Questions:

  1. What is 5×12535 \times \sqrt[3]{125}?
  2. How do you calculate 1003\sqrt[3]{100} approximately?
  3. What is the value of 814\sqrt[4]{81}?
  4. How would you evaluate 3×6433 \times \sqrt[3]{64}?
  5. What is 5×2735 \times \sqrt[3]{27}?

Tip: Remember that cube roots are used to find a number which, when multiplied by itself three times, results in the original number.

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Math Problem Analysis

Mathematical Concepts

Cube Roots
Arithmetic Operations

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8