A) \[8\sqrt[3]{7}\]
B) \[6\sqrt[3]{7}\]
C) \[4\sqrt[3]{7}\]
D) \[9\sqrt[3]{7}\]
Correct Answer: C
Solution :
(c): \[2{{\left( 27\times 7 \right)}^{1/3}}+3{{\left( 64\times 7 \right)}^{1/3}}-7{{\left( 8\times 7 \right)}^{1/3}}\] \[\Rightarrow 6{{\left( 7 \right)}^{1/3}}+12{{\left( 7 \right)}^{1/3}}-14{{\left( 7 \right)}^{1/3}}\] \[\Rightarrow {{\left( 7 \right)}^{1/3}}6+12-14\] \[\Rightarrow 4\times {{\left( 7 \right)}^{1/3}}=4\sqrt[3]{7}\]
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