Questions: Evaluate the radical expression. Express your answer as an integer, simplified fraction, or a decimal rounded to two decimal places.
√125
Transcript text: Evaluate the radical expression. Express your answer as an integer, simplified fraction, or a decimal rounded to two decimal places.
√125
Solution
Solution Steps
To evaluate the radical expression \( \sqrt[3]{125} \), we need to find the cube root of 125. The cube root of a number \( x \) is a number \( y \) such that \( y^3 = x \). In this case, we are looking for a number \( y \) such that \( y^3 = 125 \).
Step 1: Evaluate the Cube Root
To find \( \sqrt[3]{125} \), we need to determine the number \( y \) such that \( y^3 = 125 \).
Step 2: Calculate the Cube Root
By calculating, we find that \( \sqrt[3]{125} = 5 \) since \( 5^3 = 125 \).
Step 3: Round the Result
The result of the cube root calculation is \( 5.0 \). When rounded to two decimal places, it remains \( 5.00 \).