Question

pls tell me
if you'll I'll mark your Ans as brain list​

Answer 1

Answer:

$x = 7 \: and \: y = 4$

Step-by-step explanation:

$\frac{ \sqrt{5} + 2}{ \sqrt{5} - 2 } = x + y \sqrt{5} \\ \frac{ \sqrt{5} + 2 }{ \sqrt{5} - 2} \times \frac{ \sqrt{5} + 2 }{ \sqrt{5} + 2} = x + y \sqrt{5} \\ \frac{ {( \sqrt{5} + 2)}^{2} }{ {( \sqrt{5} )}^{2} - {(2)}^{2} } = x + y \sqrt{5} \\ \frac{5 + 2 + 4 \sqrt{5} }{5 - 4} = x + y \sqrt{5} \\ \frac{7 + 4 \sqrt{5} }{1} = x+ y \sqrt{5} \\ 7 + 4 \sqrt{5} = x + y \sqrt{5} \\ x = 7 \: and \: y = 4$