1.

If a=2+√3 find the value of a²+1/a²

Answer»

\frac{1}{a} = \frac{1}{2} + \sqrt{3} \\ \frac{1}{x} = 2 - \sqrt{3}

Now,

{a}^{2} + \frac{ {1}^{2} }{a} \\ (2 + \sqrt{3} )^{2} + (2 - \sqrt{ {3} } )^{2} \\ 4 + 3 + 4 \sqrt{3} + 4 + 3 - 4 \sqrt{3} \\ 4 + 3 + 4 + 3 \\ 14


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