cube root of 14

Understand the Problem

The question is asking for the cube root of 14, which is a mathematical operation that finds a number which, when multiplied by itself twice, gives the original number (14). To solve it, we can express it in radical form or use a calculator.

Answer

The cube root of 14 is approximately $2.4101$.
Answer for screen readers

The cube root of 14 is approximately $2.4101$.

Steps to Solve

  1. Express in Radical Form

To find the cube root of 14, we can express this mathematically as: $$ \sqrt[3]{14} $$

  1. Use a Calculator

Using a calculator, input the number 14 and then use the cube root function. Most calculators have a specific button for cube roots, or you can raise 14 to the power of ( \frac{1}{3} ): $$ 14^{\frac{1}{3}} $$

  1. Approximate the Value

Calculate the approximation of the cube root of 14. It is approximately: $$ \sqrt[3]{14} \approx 2.4101 $$

The cube root of 14 is approximately $2.4101$.

More Information

The cube root, denoted as $\sqrt[3]{x}$ for a number $x$, represents a number that, when multiplied by itself twice gives $x$. For example, $2.4101 \times 2.4101 \times 2.4101 \approx 14$.

Tips

  • Using the Square Root Function: Confusing the square root and cube root can lead to incorrect results. Ensure the correct function is used.
  • Not Rounding Properly: When reporting the result, it's essential to note the level of precision required.
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