Questions: Use a calculator to approximate the radical.
∛5
∛5=
(Round to two decimal places as needed.)
Transcript text: Use a calculator to approximate the radical.
\[
\begin{array}{r}
\sqrt[3]{5} \\
\sqrt[3]{5}=\square
\end{array}
\]
$\square$
(Round to two decimal places as needed.)
Solution
Solution Steps
To approximate the cube root of 5, we can use Python's built-in exponentiation operator to calculate \(5^{1/3}\). This will give us the cube root of 5, which we can then round to two decimal places.
Step 1: Calculate the Cube Root
To find the cube root of 5, we compute \( \sqrt[3]{5} \). This can be expressed mathematically as \( 5^{1/3} \).
Step 2: Evaluate the Expression
Evaluating \( 5^{1/3} \) gives us approximately \( 1.7099759466766968 \).
Step 3: Round the Result
Rounding \( 1.7099759466766968 \) to two decimal places results in \( 1.71 \).
Final Answer
The cube root of 5, rounded to two decimal places, is \\(\boxed{1.71}\\).