Question

can any one help me ​

Answer 1

$\tt{ \frac{4 + \sqrt{5} }{4 - \sqrt{5} } + \frac{4 - \sqrt{5} }{4 + \sqrt{5} } }$

$\tt{= \frac{6.2360679775}{1.7639320225} + \frac{1.7639320225}{6.2360679775} }$

$\tt{= \frac{ \cancel{6.2360679775}}{ \cancel{1.7639320225}} + \frac{ \cancel{1.7639320225}}{ \cancel{6.2360679775}} }$

$\tt{ = 1}$

Answer 2

Step-by-step explanation:

$\frac{4 + \sqrt{5} }{4-\sqrt{5}} + \frac{4 - \sqrt{5} }{4 + \sqrt{5}} \\ = \frac{(4 + \sqrt{5})^{2} }{4^{2} -(\sqrt{5})^{2} } + \frac{(4 - \sqrt{5})^{2} }{4^{2} -(\sqrt{5})^{2} } \\ = \frac{16 + 8 \sqrt{5} + 5}{1} + \frac{16 - 8 \sqrt{5} + 5}{1} \\ = 32 + 10 \\ = 42$