The rationalising factor of 2^1/3+2^-1/3

1.	The rationalising factor of 2^1/3+2^-1/3
Answer» Answer: $2^{\frac{2}{3}}$ The RATIONALIZING factor is Step-by-step explanation: GIVEN Expression: $2^{\frac{1}{3}}+2^{\frac{-1}{3}}$ To FIND: Rationalizing factor Rationalizing factor is the TERM which multiplied and divided to given expression so that the denominator has no rational number. Consider, $2^{\frac{1}{3}}+2^{\frac{-1}{3}}$ $=2^{\frac{1}{3}}+\frac{1}{2^{\frac{1}{3}}}$ $=\frac{2^{\frac{1}{3}}\times2^{\frac{1}{3}}+1}{2^{\frac{1}{3}}}$ $=\frac{2^{\frac{2}{3}}+1}{2^{\frac{1}{3}}}$ From above SIMPLIFIED expression, The rationalizing factor = $2\div2^{\frac{1}{3}}=2^{\frac{2}{3}}$ Therefore, $2^{\frac{2}{3}}$ The rationalizing factor is

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Answer:

$2^{\frac{2}{3}}$ The RATIONALIZING factor is