The rationalising factor of {a^{1/3}} + {a^{ | vedclass

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Question

(d) Let$x = {a^{1/3}},y = {a^{ - 1/3}}$then $a = {x^3},{a^{ - 1}} = {y^3}$

${x^3} + {y^3} = (x + y)({x^2} - xy + {y^2})$

So, rationlising factor

Vedclass · Accepted Answer

${a^{2/3}} + {a^{ - 2/3}} - 1$

Vedclass · Answer

(d) Let$x = {a^{1/3}},y = {a^{ - 1/3}}$then $a = {x^3},{a^{ - 1}} = {y^3}$

${x^3} + {y^3} = (x + y)({x^2} - xy + {y^2})$

So, rationlising factor is $({x^2} - xy + {y^2})$. Put the value of $x$ and $y$. 

Thus the required rationlising factor is ${a^{2/3}} + {a^{ - 2/3}} - 1$.

The rationalising factor of ${a^{1/3}} + {a^{ - 1/3}}$ is

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