Rasionalkan dan sederhanakan bentuk akar √5+2√3/√5-3√3

(√5+2√3) / (√5-3√3)
= [ (√5+2√3) / (√5-3√3) ] x [ (√5+3√3) / (√5+3√3) ]
= [(√5)^2 + 3√15 + 2√15+6√9] / [(√5)^2 – 3√15 – 3√15 – 9√9]
= [5 + 5√15 + 6(3)] / [5 – 9(3)]
= (5 + 18 + 5√15) / (5 – 27)
= (23 + 5√15) / (-22)
= – [(23+5√15)/22]