Question

please give correct answer​

Answer 1

Step-by-step explanation:

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$\displaystyle \sf \longrightarrow \: (a + \frac{1}{a} ) ^{2} = 3 \: \: \: \\ \\ \displaystyle \sf \longrightarrow \: (a + \frac{1}{ {a} } ) = \: \sqrt{3}$

$\mathfrak{ \large{ \orange{ \underline{ \underline{find}}}}} \\ \\ \displaystyle \sf \longrightarrow \: ( {a}^{3} + \frac{1}{ {a}^{3} } ) = 0$

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$\mathfrak{ \large{ \orange{ \underline{ \underline{formula}}}}} \\ \\ \displaystyle \sf \longrightarrow \: ( {a}^{3} + \frac{1}{ {a}^{3} } ) = {k}^{3} - 3k \\ \\ \displaystyle \sf \longrightarrow where \: k \: is \: \sqrt{3} \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \displaystyle \sf \longrightarrow \: 3 \sqrt{3} - 3 \sqrt{3} \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \displaystyle \sf \longrightarrow \: 0 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$