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Calculate (1001)^(1//3)....

Calculate `(1001)^(1//3)`.

Text Solution

Verified by Experts

We can write 1001 as : `1001=1000(1+(1)/(1000))`. So that we have
`(1001)^(1//2)=[1000(1+(1)/(1000))]^(1//2)=10[1+(1)/(1000)]^(1//3)`
`=10(1+0.001)^(1//3)=10(1+(1)/(3)xx0.001)`
`=10.003333`
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