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Question 7 (2 points)
Give the value for each. Round to the nearest 100 th if necessary.

root(3)((9)/(125))

Question $7$ ( $2$ points) $\newline$ Give the value for each. Round to the nearest $100$ th if necessary. $\newline$ $\sqrt[3]{\frac{9}{125}}$

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Roots of rational numbers

Full solution

Q. Question

7

(

2

points)

\newline

Give the value for each. Round to the nearest

100

th if necessary.

\newline

\sqrt[3]{\frac{9}{125}}

Write Cube Root as Radical: First, let's write the cube root of $\frac{9}{125}$ as a radical expression. $\newline$ $\sqrt[3]{\frac{9}{125}} = \frac{9^{\frac{1}{3}}}{125^{\frac{1}{3}}}$
Find Cube Root Separately: Now, let's find the cube root of the numerator and the denominator separately. $\newline$ $(9)^{1/3} = 2.08$ (rounded to nearest hundredth) $\newline$ $(125)^{1/3} = 5$

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