Aptitude Question ID: 107038
The value of $latex 2\sqrt[3]{32}-3\sqrt[3]{4}+\sqrt[3]{500}$ is :
[A]$latex 3\sqrt{24}$
[B]$latex 6\sqrt[3]{4}$
[C]$latex 916$
[D]$latex 4\sqrt[3]{6}$
$latex \mathbf{6\sqrt[3]{4}}$
Given expression, $latex 2\sqrt[3]{32}-3\sqrt[3]{4}+\sqrt[3]{500}$
$latex = 2\sqrt[3]{8\times 4}-3\sqrt[3]{4}+\sqrt[3]{125\times 4}$
$latex = 2\times 2\sqrt[3]{4}-3\sqrt[3]{4}+5\sqrt[3]{4} = 6\sqrt[3]{4}$
Hence option [B] is correct answer.