Sederhanakan 5/2akar3-akar2

Sederhanakan 5/2akar3-akar2

$frac{5}{2 sqrt{3} - sqrt{2} } =$

$frac{5}{2 sqrt{3} - sqrt{2} } times frac{2 sqrt{3} + sqrt{2} }{2 sqrt{3} + sqrt{2} } =$

$frac{5(2 sqrt{3} + sqrt{2} )}{(2 sqrt{3} - sqrt{2}) (2 sqrt{3} + sqrt{2} )} =$

$frac{10 sqrt{3} + 5 sqrt{2} }{ {(2 sqrt{3}) }^{2} - { (sqrt{2}) }^{2} } =$

$frac{10 sqrt{3} + 5 sqrt{2} }{4 times 3 - 2} =$

$frac{10 sqrt{3} + 5 sqrt{2} }{12- 2} = frac{10 sqrt{3} + 5 sqrt{2} }{10} =$

$frac{10 sqrt{3} }{10} + frac{5 sqrt{2} }{10} =$

$sqrt{3} + frac{ sqrt{2} }{2}$

Terima kasih.