Question

simplify:
maths question

Answer 1

Hey there!
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$= > \frac{ \sqrt{5} - 2 }{ \sqrt{5} + 2} - \frac{ \sqrt{5} + 2 }{ \sqrt{5} - 2} \\ \\ = > (\frac{ \sqrt{5} - 2 }{ \sqrt{5} + 2} \times \frac{ \sqrt{5} - 2 }{ \sqrt{5} - 2} ) - \\ \\ ( \frac{ \sqrt{5} + 2 }{ \sqrt{5} - 2} \times \frac{ \sqrt{5} + 2 }{ \sqrt{5} + 2} ) \\ \\ = > \frac{( \sqrt{5} - 2) {}^{2} }{( \sqrt{5}) {}^{2} - (2) {}^{2} } - \frac{( \sqrt{5} + 2) {}^{2} }{( \sqrt{5}) {}^{2} - (2) {}^{2}} \\ \\ = > \frac{5 - 4 \sqrt{5} + 4 }{5 - 4} - \frac{5 + 4 \sqrt{5} + 4 }{5 - 4} \\ \\ = > \frac{9- 4 \sqrt{5} }{1} - \frac{9 - 4 \sqrt{5} }{1} \\ \\ = > 9- 4 \sqrt{5} - 9 + 4 \sqrt{5} \\ \\ = > 9 - 9 \\ \\ = > 0$

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