Tolong kak please, biar nambah pengetahuanku

Tolong kak please, biar nambah pengetahuanku

Jawaban:

Rasionalkan :

$= frac{4 sqrt{3} }{ sqrt{5} - 2 sqrt{2} } times frac{ sqrt{5} + 2 sqrt{2} }{ sqrt{5} + 2 sqrt{2} } \ = frac{4 sqrt{3} ( sqrt{5} + 2 sqrt{2} )}{ sqrt{5} ( sqrt{5} + 2 sqrt{2} ) - 2 sqrt{2} ( sqrt{5} + 2 sqrt{2} ) } \ = frac{4 sqrt{15} + 8 sqrt{6} }{ sqrt{25} + 2 sqrt{10} - 2 sqrt{10} - 4 sqrt{4} } \ = frac{4 sqrt{15} + 8 sqrt{6} }{5 - 4.(2)} \ = frac{4 sqrt{15} + 8 sqrt{6} }{5 - 8} \ = frac{4 sqrt{15} + 8 sqrt{6} }{ - 3} \ = - frac{1}{3} (4 sqrt{15} - 8 sqrt{6} )$

Jawaban (A)