Question

pls solve the 12th ques..

Answer 1

$we \: \: know \\ 2 - 1 = 1 \\ { (\sqrt[3]{2}) }^{3} - {1}^{3} = 1 \\ expanding \: \: left \: \: side \\ ( \sqrt[3]{2} - 1)( {( \sqrt[3]{2} )}^{2} + \sqrt[3]{2} \times 1 + {1}^{2} ) = 1 \\ ( \sqrt[3]{2} - 1)( \sqrt[3]{4} + \sqrt[3]{2} + 1) = 1 \\ therefore \\ \frac{1}{\sqrt[3]{2} - 1} = \sqrt[3]{4} + \sqrt[3]{2} + 1 \\ option \: (c)$