Answer:
Option (d) is correct.
[tex]\sqrt[3]{\frac{8}{1000}}=\frac{2}{10}[/tex]
Step-by-step explanation:
Given : Expression [tex]\sqrt[3]{\frac{8}{1000}}[/tex]
We have to simplify the given expression and choose the correct options from the the given options.
Consider the given Expression [tex]\sqrt[3]{\frac{8}{1000}}[/tex]
[tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}},\:[/tex]
Then the given expression becomes,
[tex]=\frac{\sqrt[3]{8}}{\sqrt[3]{1000}}[/tex]
We know [tex]\sqrt[3]{8}=2 \ and\ {\sqrt[3]{1000}=10[/tex]
Thus,
[tex]\frac{\sqrt[3]{8}}{\sqrt[3]{1000}}=\frac{2}{10}[/tex]
Thus, Option (d) is correct.
