Question

Simplify the following

and provide a image solution

Correct answer is 8
​

Answer 1

Answer:

-7

Step-by-step explanation:

$\frac{ \sqrt{5} + 3 }{ \sqrt{5} - 3 } + \frac{ \sqrt{5} - 3 }{ \sqrt{5} + 3} \\ = \frac{ (\sqrt{5} + 3)( \sqrt{5 } + 3) + ( \sqrt{5} - 3)( \sqrt{5} - 3) }{( \sqrt{5} - 3)( \sqrt{5} + 3) } \\ = \frac{5 + 9 + 6 \sqrt{5} + 5 + 9 - 6 \sqrt{5} }{5 - 9} \\ = \frac{28}{ - 4} \\ = - 7$

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