Question

Rasionalkan penyebut pecahan berikut!
a.)5/√15
b.)2/√20
c.)3/√18
d.) √6/√24
e.) 2√2/√48
f.) 2a/3√a berapa hasilnya?

Answer 1

A) 5/√15
= 5/√15 * √15/√15
= 5√15 / 15
= √15/ 3

b) 2/ √20
= 2 / √20 * √20/ √20
= 2 √20 / 20
= √20 / 10
= √4*5 /10
= 2√5 / 10
= √5 / 5

c) 3/ √18
= 3/ √18 * √18/ √18
= 3√18 * 18
= √18 / 6
=√9*2 /6
= 3√2 / 6
= √2 / 2

Answer 2

A.)5/√15 = (5/√15)(√15/√15)
= 5/15 √15 = √15/3

b.)2/√20=(2/√20)(√20/√20)
=2/20 √20=√20/10

c.)3/√18=(3/√18)(√18/√18)
=3/18 √18 =√18/6

d.) √6/√24=(√6/√24)(√24/√24)
=√6√24/24
=√144/24=12/24=1/2

e.) 2√2/√48=(2√2/√48)(√48/√48)
=2√2√48/48
=2√96/48
=2√16√6/48
=8√6/48=√6/6

f.) 2a/3√a =(2a/3√a)(√a/√a)
=2a√a/3a
=2√a/3