Math, asked by neilakhonuorupreo, 4 months ago

can any one help me ​

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Answered by HelpfulQuestioner
12

 \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}

Answered by Srimi55
4

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

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