If \[\sqrt[3]{185193}=57,\]then the value of \[\sqrt[3]{185193}+\sqrt[3]{185.193}+\sqrt[3]{0.000185193}\] is [SSC (FCI) 2012] |
A) 6.327
B) 63.275
C) 632.75
D) 62.757
Correct Answer: D
Solution :
\[\because \]\[\sqrt[3]{185193}=57\] |
\[\therefore \]\[\sqrt[3]{185193}+\sqrt[3]{185.193}-\sqrt[3]{0.000185193}\] |
\[=\sqrt[3]{185193}+\sqrt[3]{\frac{185193}{1000}}-\sqrt[3]{\frac{185193}{1000000000}}\] |
\[=57+5.7+0.057=62.757\] |
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