Without-using-table-find-the-values-of-1-1-3-2-1-1-3-2-Mastermind-

Question Number 180837 by Mastermind last updated on 17/Nov/22

Without using table, find the values

of :

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

Mastermind

Answered by Rasheed.Sindhi last updated on 18/Nov/22

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

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

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

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

\frac{(2 \sqrt{3}) (2)}{2^{2}}

= \sqrt{3}

Answered by Socracious last updated on 19/Nov/22

\sqrt{3}