A) 1.9995
B) 1.9996
C) 1.9990
D) 1.9991
Correct Answer: B
Solution :
\[{{(7.995)}^{1/3}}={{(8-0.005)}^{1/3}}\] \[=2{{\left( 1-\frac{0.005}{8} \right)}^{1/3}}\] \[=2\,\left[ 1+\left( \frac{1}{3} \right)\left( -\frac{0.005}{8} \right) \right]\] \[=2\,[1-0.000208]\] \[=1.9996\]
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