Questions: Find the cube root.
[
sqrt[3]1
]
Select the correct choice below and, if necessary, fill in the answer box within your choice.
A. The cube root of 1 is
B. The root is not a real number.
Transcript text: Find the cube root.
\[
\sqrt[3]{1}
\]
Select the correct choice below and, if necessary, fill in the answer box within your choice.
A. $\sqrt[3]{1}=$ $\square$
B. The root is not a real number.
Solution
Solution Steps
To find the cube root of a number, we need to determine which number, when multiplied by itself three times, equals the original number. In this case, we are looking for the cube root of 1. Since 1 multiplied by itself any number of times is still 1, the cube root of 1 is 1.
Step 1: Determine the Cube Root
To find the cube root of \( 1 \), we need to solve the equation \( x^3 = 1 \). The cube root is defined as the number \( x \) such that when multiplied by itself three times, it equals \( 1 \).
Step 2: Calculate the Cube Root
The cube root of \( 1 \) can be expressed mathematically as \( \sqrt[3]{1} \). Since \( 1 \times 1 \times 1 = 1 \), we find that \( \sqrt[3]{1} = 1 \).