Find the value of : [A]1 [B]5 [C]5.375 [D]6 Show Answer
6 Given Expression, Here let and Hence option [D] is correct answer.
![\sqrt[3]{3.5} = a](http://s0.wp.com/latex.php?latex=%5Csqrt%5B3%5D%7B3.5%7D+%3D+a&bg=ffffff&fg=000&s=0 "\sqrt[3]{3.5} = a")
![(\sqrt[3]{3.5}+\sqrt[3]{2.5})\left \{ (\sqrt[3]{3.5})^{2}-\sqrt[3]{8.75}+(\sqrt[3]{2.5})^{2} \right \}](http://s0.wp.com/latex.php?latex=%28%5Csqrt%5B3%5D%7B3.5%7D%2B%5Csqrt%5B3%5D%7B2.5%7D%29%5Cleft+%5C%7B+%28%5Csqrt%5B3%5D%7B3.5%7D%29%5E%7B2%7D-%5Csqrt%5B3%5D%7B8.75%7D%2B%28%5Csqrt%5B3%5D%7B2.5%7D%29%5E%7B2%7D+%5Cright+%5C%7D&bg=ffffff&fg=000&s=0 "(\sqrt[3]{3.5}+\sqrt[3]{2.5})\left \{ (\sqrt[3]{3.5})^{2}-\sqrt[3]{8.75}+(\sqrt[3]{2.5})^{2} \right \}")
![\sqrt[3]{2.5} = b](http://s0.wp.com/latex.php?latex=%5Csqrt%5B3%5D%7B2.5%7D+%3D+b&bg=ffffff&fg=000&s=0 "\sqrt[3]{2.5} = b")
![\therefore (\sqrt[3]{3.5}+\sqrt[3]{2.5})\left \{ (\sqrt[3]{3.5})^{2}-\sqrt[3]{8.75}+(\sqrt[3]{2.5})^{2} \right \} = \left ( \sqrt[3]{3.5} \right )^{3} + \left ( \sqrt[3]{2.5} \right )^{3}](http://s0.wp.com/latex.php?latex=%5Ctherefore+%28%5Csqrt%5B3%5D%7B3.5%7D%2B%5Csqrt%5B3%5D%7B2.5%7D%29%5Cleft+%5C%7B+%28%5Csqrt%5B3%5D%7B3.5%7D%29%5E%7B2%7D-%5Csqrt%5B3%5D%7B8.75%7D%2B%28%5Csqrt%5B3%5D%7B2.5%7D%29%5E%7B2%7D+%5Cright+%5C%7D+%3D+%5Cleft+%28+%5Csqrt%5B3%5D%7B3.5%7D+%5Cright+%29%5E%7B3%7D+%2B+%5Cleft+%28+%5Csqrt%5B3%5D%7B2.5%7D+%5Cright+%29%5E%7B3%7D&bg=ffffff&fg=000&s=0 "\therefore (\sqrt[3]{3.5}+\sqrt[3]{2.5})\left \{ (\sqrt[3]{3.5})^{2}-\sqrt[3]{8.75}+(\sqrt[3]{2.5})^{2} \right \} = \left ( \sqrt[3]{3.5} \right )^{3} + \left ( \sqrt[3]{2.5} \right )^{3}")
