Question

find the real - number root using a calculator. round your answer to the nearest thousandth. (sqrt3{68})

Explanation:

Step1: Recall cube root definition

$\sqrt[3]{68}$ is the number $x$ where $x^3=68$.

Step2: Calculate with calculator

Use calculator to compute $\sqrt[3]{68} \approx 4.0816551019999$

Step3: Round to nearest thousandth

Round the result to 3 decimal places: look at the 4th decimal digit (6), which is ≥5, so round up the 3rd decimal digit.

Answer:

4.082