Question

$[Matchal] Question in the attachment [/Matchal][/huge]$

Answer 1

Answer:

hope you will understand.

Answer 2

${ \bold{ \green{ \underline{ANSWER:}}}}$

${ \bold{Given \: \: function : - }}$

${ \bold{ \pink{ \frac{3 - \sqrt{5} }{3 +2 \sqrt{5} } = a \sqrt{5} - \frac{19}{11} }}}$

${ \bold{ Rationalization : - }}$

${ \bold{ \pink{ = \frac{3 - \sqrt{5} }{ 3+ 2 \sqrt{5} } }}} \\ \\ { \bold{ \pink{ = \frac{3 - \sqrt{5} }{ 3+ 2\sqrt{5} } \times \frac{3 -2 \sqrt{5} }{3 - 2 \sqrt{5} } }}} \\ \\ { \bold{ \pink{ = \frac{ 9 - 6 { \sqrt{5} - 3 \sqrt{5} + 10 } }{ {3}^{2} - {(2 \sqrt{5} )}^{2} } }}} \\ \\ { \bold{ \pink{ = \frac{19 - 9 \sqrt{5} }{ 9 - 5 \times 4 } }}} \\ \\ { \bold{ \pink{ = \frac{19 - 9 \sqrt{5} }{ - 11} }}} \\ \\ { \bold{ \pink{ = \frac{9 \sqrt{5} }{11} - \frac{19}{11} }}}$

${ \bold{now \: \: compare : - }}$

${ \bold{ \boxed{ \orange{a = \frac{9}{11} }}}}$

${ \bold{ \boxed{ \green{HOPE \: \: YOU \: \: LIKE \: \: IT...}}}}$