Question

solve...... this......

Answer 1

HEY Buddy.....!! here is ur answer

Given that : a = 1–√3

Then, we have to find the value of :

$= > {(a - \frac{1}{a}) }^{3} = { ((1 - \sqrt{3} ) - \frac{1}{(1 - \sqrt{3}) } )}^{3} \\ \\ = > ( {a - \frac{1}{a}) }^{3} =( { \frac{3 - 2 \sqrt{3} }{1 - \sqrt{3} }) }^{3} \\ \\ = > ( {a - \frac{1}{a}) }^{3} = \frac{27 - 54 \sqrt{3} + 108 - 24 \sqrt{3} }{1 - 3 \sqrt{3} + 9 - 9 \sqrt{3} } \\ \\ = > ( {a - \frac{1}{a}) }^{3} = \frac{135 - 78 \sqrt{3} }{10 - 12 \sqrt{3} }$


I hope it will be helpful for you....!!

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