5 per akar 3-akar 2 berapa hasilnya mohon jelaskan secara detail:)

5 per akar 3-akar 2
berapa hasilnya mohon jelaskan secara detail:)

Jawaban:

$frac{5}{ sqrt{3} - sqrt{2} } \ = frac{5}{ sqrt{3} - sqrt{2} } times frac{ sqrt{3} + sqrt{2} }{ sqrt{3} + sqrt{2} } \ = frac{5( sqrt{3} + sqrt{2} )}{( sqrt{3} - sqrt{2} )( sqrt{3} + sqrt{2}) } \ = frac{5 (sqrt{3} + sqrt{2}) }{( sqrt{3 } {)}^{2} + sqrt{6} - sqrt{6} - ( sqrt{2} {)}^{2} } \ = frac{5( sqrt{3} + sqrt{2} )}{3 - 2} \ = frac{5( sqrt{3} + sqrt{2} ) }{} \ = frac{5 sqrt{3} + 5 sqrt{2} }$

Semoga bermanfaat:D

Jawaban:

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

(a+b) (a–b) = a²–b²

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