Question

Raitionalise-
Plz tell me the answer fast​

Answer 1

$\huge\boxed{\underline{\bf { \red S \green O \pink L \blue U \orange T \purple I \red O \pink N \green{..}}}}$

$\longmapsto \sf \frac{3-\sqrt{5}}{3+2\sqrt{5}}$

$\longmapsto \sf \frac{3 - \sqrt{5} }{3 + 2 \sqrt{5} } \times \frac{3 - 2 \sqrt{5} }{3 - 2 \sqrt{5} }$

$\longmapsto \sf \frac{9 - 6 \sqrt{5} - 3 \sqrt{5} + 2 \sqrt{25} }{ {(3)}^{2} - {(2 \sqrt{5})}^{2}}$

$\longmapsto \sf \frac{9 - 6 \sqrt{5} - 3 \sqrt{5} + 10}{9 - 20}$

$\longmapsto \sf \frac{19 - 6 \sqrt{5} - 3 \sqrt{5} }{-11}$

$\longmapsto \sf \frac{6 \sqrt{5} +3 \sqrt{5} -19 }{11}$