1.

If $$x = \frac{{\sqrt 5- \sqrt 3 }}{{\sqrt 5+ \sqrt 3 }}$$and $$y = \frac{{\sqrt 5+ \sqrt 3 }}{{\sqrt 5- \sqrt 3 }}$$then the value of $$\frac{{{x^2} + xy + {y^2}}}{{{x^2} - xy + {y^2}}} = ?$$

A. $\frac{{65}}{{63}}$$
B. $\frac{{67}}{{65}}$$
C. $\frac{{69}}{{67}}$$
D. $\frac{{63}}{{61}}$$
Answer» E.


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