Question

please solve and give proper answer.​

Answer 1

$\large\underline\purple{\bold{Solution :- }}$

$\tt \:  ⟼ \: \dfrac{(3 + i \sqrt{5})(3 - i \sqrt{5} ) }{( \sqrt{3} + i\sqrt{2}) - ( \sqrt{3} - i \sqrt{2} ) }$

$\tt \:  = \dfrac{ {(3)}^{2} - {(i \sqrt{5}) }^{2} }{ \cancel{ \sqrt{3 } }+ i \sqrt{2} - \cancel{\sqrt{3} }+ i \sqrt{2} }$

$\tt \:  = \dfrac{9 - 5 {i}^{2} }{2 \sqrt{2}i }$

$\tt \:  = \dfrac{9 + 5}{2 \sqrt{2}i } - - - ( \because \: {i}^{2} = - 1)$

$\tt \:  = \dfrac{14}{2 \sqrt{2}i }$

$\tt \:  = \dfrac{7}{ \sqrt{2}i } \times \dfrac{ \sqrt{2} i}{ \sqrt{2} i}$

$\tt \:  = \dfrac{7 \sqrt{2} i}{2 {i}^{2} }$

$\tt \:  = - \dfrac{7 \sqrt{2} i}{2}$

$\tt \:  = 0 - i\dfrac{7 \sqrt{2} }{2}$

Answer 2

$\huge\red{\mid{\fbox{\tt{Answer}}\mid}}$☝☝✌✌

JUST WANTED TO HELP BUDDY.