rasionalkan penyebut pecahan pecahan berikut a.3/√5 b.15/√7 c.2√2/6√6 d.16√100/1+√32 e.10/5-√2

a) 3/√5
=3√5 x √5/√5
= 3√5/5
b) 15/√7
= 15/√7 x √7/√7
= 15√7/7
c) 2√2/6√6
= 2√2/6√6 x 6√6/6√6
= 12√12 / 36√36
= 12 x 2√3 / 36 x 6
= 24√3 / 216
= √3/9 = 1/9 √3
d) 16√100/1+√32
= (16√100/1+√32) x (1-√32/1-√32)
= {(16 x 10)(1-√32)} / {(1+√32)(1-√32)}
= 160(1-√32) / (1-32)
= 160(1-√32) / (-31)
e) 10/5-√2
= 10/(5-√2) x (5+√2)(5+√2)
= 10(5+√2) / (25-2)
= 10(5+√2)/23 atau
= (50+10√2)/23