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What is the cube root of 5?

Understand the Problem

The question is asking for the cube root of the number 5. The cube root of a number x is a value such that when multiplied by itself three times (x * x * x), it equals the original number. We can determine this using mathematical calculations.

Answer

The cube root of 5 is approximately \( 1.709975947 \).
Answer for screen readers

The cube root of 5 is approximately ( 1.709975947 ).

Steps to Solve

  1. Identify the cube root definition

The cube root of a number ( x ) is defined as a number ( y ) such that ( y^3 = x ). For this problem, we want to find ( y ) such that ( y^3 = 5 ).

  1. Use the cube root notation

To express the cube root mathematically, we write it as ( y = \sqrt[3]{5} ).

  1. Calculate the cube root

Using a calculator, compute ( \sqrt[3]{5} ).

The calculation gives approximately:

$$ y \approx 1.709975947 \ldots $$

The cube root of 5 is approximately ( 1.709975947 ).

More Information

The cube root is important in various fields of mathematics and science, including geometry and physics, where it might be used to find the side length of a cube given its volume.

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