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Evaluate (1001)^(1/3) upto six places of...

Evaluate `(1001)^(1/3)` upto six places of decimal.

Text Solution

Verified by Experts

`(1001)^(1/3)=(1000+1)^(1/3)=1000(1+1/(1000))^(1/3)`
=>`10(1+0.001)^(1/3)`
=>`(1+x)^n=1+nx+(n(n-1))/2............`
=>`10(1+0.001/3-2/9 xx 1/2 xx (0.000001))`
=>ans:10.003332
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