Sederhanakanlah 1. (5√3-3√5)(3√5+2√3) 2.(√6-√2)(√6+3√2)

1)
(5√3 - 3√5)(3√5 + 2√3)
= 5√3 . 3√5 + 5√3 . 2√3 + (-3√5) . 3√5 +
(-3√5) . 2√3
= 15√15 + 10√9 - 9√25 - 6√15
= 15√15 + 10.3 - 9.5 - 6√15
= 15√15 + 30 - 45 - 6√15
= (15-6)√15 - 15
= 9√15 - 15
atau jika disederhanakan dg dibagi 3 menjadi :
= 1/3 (9√15 - 15)
= 3√15 - 5


2)
(√6 - √2)(√6 + 3√2)
= √6 . √6 + √6 . 3√2 + (-√2) . √6 + (-√2) . 3√2
= √36 + 3√12 - √12 - 3√4
= 6 + (3-1)√12 - 3.2
= 6 + 2√12 - 6
= 2√12
= 2√(4.3)
= 2.2√3
= 4√3