# What is the cube root of 2?

#### Understand the Problem

The question is asking for the cube root of the number 2. To solve this, we need to determine the value that, when multiplied by itself three times, equals 2.

The cube root of 2 is approximately $\sqrt[3]{2} \approx 1.25992$.

The cube root of 2 is approximately $\sqrt[3]{2} \approx 1.25992$.

#### Steps to Solve

1. Understanding Cube Root
The cube root of a number $x$ is the value $y$ such that $y^3 = x$. In this case, we want to find $y$ such that $y^3 = 2$.

2. Expressing Mathematically
We express the cube root of 2 mathematically as:
$$y = \sqrt[3]{2}$$

3. Using a Calculator or Approximation
To find the numerical value of $y$, we can either use a scientific calculator or estimate the value by trial and error.
For instance, try approximate values:

• If $1.2^3 = 1.728$
• If $1.3^3 = 2.197$
This suggests that the cube root of 2 is between 1.2 and 1.3.
1. Refining the Approximation
Narrow it down:
• If $1.25^3 = 1.953125$ (too low)
• If $1.26^3 = 2.000376$ (too high)
This indicates that the cube root of 2 is approximately 1.25.
1. Final Value
To get a more precise result, using a calculator gives us:
$$\sqrt[3]{2} \approx 1.25992$$

The cube root of 2 is approximately $\sqrt[3]{2} \approx 1.25992$.