1. The document discusses operations involving surds such as addition, subtraction, multiplication, and rationalizing denominators of surd fractions. 2. It provides examples of rationalizing denominators of surd fractions by multiplying the numerator and denominator by the conjugate of the denominator. 3. The document also contains practice problems involving operations with surds.

1. Exponential and Logarithm
Function (Fungsi Eksponensial dan
Logaritma)
Minggu ke-2

2. 3.2 SURDS
 The Operations of Surds
1).
2).
3).
ab
b
a =
⋅
b
a
b
a
=
( ) c
b
a
c
b
c
a +
=
+
n
m
a
a
n m
=
7 ).
8 ). n
m
k
a
a
m n k ×
=
9 ).
imajiner
bilangan
i
i
⇒
=
−1
3).
4).
5).
6).
( ) c
b
a
c
b
c
a +
=
+
( ) c
b
a
c
b
c
a −
=
−
( ) b
a
ab
b
a +
=
+
+ 2
( ) b
a
b
a
ab
b
a >
−
=
−
+ ,
2

3.  Rationalizing The Denominator of A
Surds Fraction
Form:
b
b
a
b
b
b
a
b
a
=
×
⇒
( )
c
b
a
c
b
a
a −
=
−
×
⇒
Form:
Form:
( )
c
b
c
b
a
c
b
c
b
c
b
a
c
b
a
−
−
=
−
−
×
+
⇒
+
( )
c
b
c
b
a
c
b
c
b
c
b
a
c
b
a
−
+
=
+
+
×
−
⇒
−

4. CONTOH 1:
2
9
2
)
5
3
1
( =
+
+
=
3
7
3
)
1
3
5
( =
−
+
= 3
7
3
)
1
3
5
( =
−
+
=
2
2
3
20
2
)
4
6
(
3
)
12
8
( +
=
−
+
+
=

5. CONTOH 2:
( )
( )( )
3
2
5
3
2
5 −
=
−
×
=
Kali bentuk sekawan
( )
( )( )
3
2
3
2
3
2
3
2 −
+
=
−
×
+
=
2
5
3
5
1
3
5
2
5
3
2
3
5
2
5
−
=
−
−
=
−
−
=

6. ( )
( )( )
3
2
3
2
3
2
5
3
2
3
2
3
2
5
+
−
+
=
+
+
×
−
=
Kali bentuk sekawan
3
5
2
5
1
3
5
2
5
3
2
3
5
2
5
−
−
=
−
+
=
−
+
=

7. CONTOH 3:

8. CONTOH 4:
......
24
5 =
+
24
5 +
( ) b
a
ab
b
a +
=
+
+ 2
INGAT:
2
3
2
3
2
)
2
3
(
6
2
5
6
4
5
24
5
+
=
×
+
+
=
+
=
×
+
=
+

9. KUIS
.......
3
2
.
3
......
48
7
.
2
.....
6
3
2
2
5
4
3
6
5
3
.
1
=
=
−
=
−
+
−
+
.......
5
3
2
3
2
.
3 =
+
−