Question

simplify
$\frac{7 + 3 \sqrt{5} }{3 + \sqrt{5} } - \frac{7 - 3 \sqrt{5} }{3 - \sqrt{5} }$
​

Answer 1

$\huge\tt{ANSWER}\::$

$\footnotesize\to\:\:\red{\frac{7 + 3 \sqrt{5} }{3 + \sqrt{5} } - \frac{7 - 3 \sqrt{5} }{3 - \sqrt{5} } } \\ \\ \footnotesize\to\:\:\orange{\frac{(7 + 3 \sqrt{5}) \times (3 - \sqrt{5}) }{4} - \frac{(7 - 2 \sqrt{5}) \times (3 + \sqrt{5}) }{4} } \\ \\ \footnotesize\to\:\:\blue{\frac{6 + 2 \sqrt{5} }{4} - \frac{11 + \sqrt{5} }{4}} \\ \\ \footnotesize\to\:\:\green{\frac{3 + \sqrt{5} }{2} - \frac{11 + \sqrt{5} }{4}} \\ \\ \footnotesize\to\:\:\purple{\frac{2(3 + \sqrt{5}) - (11 + \sqrt{5}) }{4}} \\ \\ \footnotesize\to\:\:\gray{\frac{6 + 2 \sqrt{5} - 11 - \sqrt{5} }{4}} \\ \\ \footnotesize\to\:\: \pink{\frac{ - 5 + \sqrt{5} }{4}}$

Answer 2

Answer:

hshshshshdhhdhdhdhx