Question

Evaluate √3 8/1000

A. 1/125
B. 6/500
C. 8/500
D. 2/10

Answer 1

The answer is D because ∛8=2 and ∛1000=10
2*2*2=8
10*10*10=1000

Answer 2

Option (d) is correct.

`\sqrt[3]{(8)/(1000)}=(2)/(10)`

Explanation:

Given : Expression
`\sqrt[3]{(8)/(1000)}`

We have to simplify the given expression and choose the correct options from the the given options.

Consider the given Expression
`\sqrt[3]{(8)/(1000)}`

`\mathrm{Apply\:radical\:rule\:}\sqrt[n]{(a)/(b)}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}},\:`

Then the given expression becomes,

`=\frac{\sqrt[3]{8}}{\sqrt[3]{1000}}`

We know
`\sqrt[3]{8}=2 \ and\ {\sqrt[3]{1000}=10`

Thus,

`\frac{\sqrt[3]{8}}{\sqrt[3]{1000}}=(2)/(10)`

Thus, Option (d) is correct.