Question

$a = 2 + \sqrt{3}$
find
${ a}^{2} - \frac{1}{ {a}^{2} }$
​

Answer 1

Answer

$a = 2 + \sqrt{3} \\ a {}^{2} - \frac{1}{a {}^{2} } \\ (2 + \sqrt{3} ) {}^{2} - \frac{1}{(2 + \sqrt{3} ) {}^{2} } \\ 4 + 3 - \frac{1}{4 + 3} \\ \frac{7}{1} - \frac{1}{7} \\ \frac{(7 \times 7) - (1 \times 1)}{1 \times 7} \\ \frac{49 - 1}{7} \\ \frac{48}{7}$

If you want more

$\frac{48}{7} = 6.857142$

Answer 2

Step-by-step explanation:

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