Surds And Indices Page 11
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28EXAMPLE 4
Simplify the following.
__
___
__
__
3 ×
2 ×
√
√
√
√
a
b
12
6
__
___
___
__
__
___
3 ×
12 =
2 ×
6 =
√
√
√
√
√
√
a
b
36
12
__
__
= 6
=
4 ×
√
√
3
__
= 2
√
3
4
Simplify the following.
__
__
__
___
__
___
__
___
___
__
8 ×
2 ×
5 ×
2 ×
10 ×
√
√
√
√
√
√
√
√
√
√
a
b
c
d
e
2
32
20
10
5
___
__
__
__
___
__
___
__
__
__
14 ×
8 ×
15 ×
15 ×
3 ×
√
√
√
√
√
√
√
√
√
√
f
g
h
i
j
2
5
3
5
8
EXAMPLE 5
__
__
√
Express 3
5 in the form
n .
√
__
__
5 = 3 ×
√
√
3
5
__
__
=
9 ×
√
√
5
___
=
√
45
__
5
Express in the form
n .
√
__
__
__
__
__
√
√
√
√
√
a
b
c
d
e
3
2
2
3
4
5
5
2
10
7
EXAMPLE 6
Simplify the following.
___
___
___
√
√
16 ___
11 ___
√
1 _
a
b
c
2
4
25
25
__
__
x
x __
√
√
___
y =
Use the property
__
.
y
√
___
___
___
__
___
___
√
√
√
√
√
16
11
16 ___
11 ___
√
9 __
____
____
1 _
=
=
=
a
___
b
___
c
2
4
25
√
25
√
4
25
25
___
__
√
√
11
9
____
___
4 _
=
=
=
__
5
5
√
4
3 __
1 _
=
= 1
2
2
6
Simplify the following.
___
___
___
___
___
√
√
√
√
√
9 ___
9 ___
17 ___
5 ___
11 ___
a
b
c
d
e
16
25
25
16
16
___
___
___
___
___
√
21 ___
√
√
√
√
1 _
7 _
3 _
5 _
f
g
h
i
j
6
1
1
2
4
9
4
9
9
11
Chapter 11
Surds and indices
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