Questions: Use a calculator to approximate the radical. ∛5 ∛5= (Round to two decimal places as needed.)

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.)
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Solution

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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}\\).

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