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Give the value for each. Round to the nearest 100th if necessary.

root(3)((8)/(216))

Give the value for each. Round to the nearest $100$ th if necessary. $\newline$ $\sqrt[3]{\frac{8}{216}}$

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Roots of rational numbers

Full solution

Q. Give the value for each. Round to the nearest

100

th if necessary.

\newline

\sqrt[3]{\frac{8}{216}}

Calculate Cube Roots: Calculate the cube root of the numerator and denominator separately. $\newline$ $\sqrt[3]{8} = 2$ because $2^3 = 8$ . $\newline$ $\sqrt[3]{216} = 6$ because $6^3 = 216$ .
Divide Cube Roots: Divide the cube roots to get the final answer. $\frac{2}{6} = \frac{1}{3}$ .
Round to Nearest Hundredth: Since the problem asks to round to the nearest hundredth if necessary, we convert $\frac{1}{3}$ to a decimal. $\newline$ $\frac{1}{3} = 0.333...$ $\newline$ Rounded to the nearest hundredth is $0.33$ .

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