Surds And Indices Page 28
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285
Simplify the following.
__
__
__
___
__
__
5 ×
6 × 2
√
√
√
√
√
√
a
b
c
d
2
2
(
7 )
(2
7 )
11
3
5
6
Express the following in simplest form.
___
___
___
__
___
__
20 ×
24 ×
√
√
√
√
√
√
a
b
c
d
60
54
5
2
__
7
Express the following in the form
n .
√
__
__
√
√
a
b
10
2
3
7
8
Simplify the following.
___
___
____
____
√
√
√
√
9 ___
17 ___
9 ___
5 ___
a
b
c
d
1
1
16
16
16
16
___
___
___
___
√
√
√
√
30
27
48
60
____
____
____
____
e
___
f
__
g
__
h
__
√
√
√
√
10
3
6
5
9
Write true or false.
__
__
___
___
__
= 3
3 =
63 = 7
√
√
√
√
√
a
b
c
3
2
4
12
3
___
___
√
___
__
___
40
√
____
4 _
2 _
27 ×
3 = 9
=
= 1
√
√
√
d
e
f
10
1
4
9
3
10
Simplify the following.
__
__
__
__
__
__
___
___
__
___
5 + 8
5 −
3 − 5
3 + 2
32 −
3 +
√
√
√
√
√
√
√
√
√
√
a
b
c
d
2
5
6
7
18
27
11
Write true or false.
___
___
___
___
__
___
__
__
__
__
10 +
10 =
12 −
3 = 3
5 − 8
5 = 1
28 − 2
7 = 2
√
√
√
√
√
√
√
√
√
√
a
b
c
d
20
9
7
12
Simplify the following.
__
__
__
__
__
8 × 5
8 × 2
3 × 2
√
√
√
√
√
a
b
c
2
8
4
6
7
__
__
__
__
__
__
___
___
6 +
5 − 2
10 + 5)(
10 − 6)
√
√
√
√
√
√
√
√
d
e
f
3 (
5 )
5
2 (3
2 )
(
__
__
__
__
__
__
5 + 3
5 − 3
5 + 2
√
√
√
√
√
√
g
h
(
7 )(
7 )
(
3 )2
13
Rationalise the denominator of the following
__
√
2
1 ___
____
a
__
b
__
√
√
7
3
7
__
__
Expand and simplify (5 + 2
3 ) (5 − 2
√
√
14
a
3 ).
1
________
b
Hence rationalise the denominator of
__
5 − 2
√
3 .
15
Write each of the following as a surd.
1 __
1 __
3 __
2 __
a
b
c
d
w
3
w
6
w
2
w
3
16
Write the following in index form.
__
___
__
_
√
3
( √
a
b
4
c
d
n
z
n
2
m
2
)
2
√
√
17
Evaluate the following.
1 __
3 __
4 __
3 __
a
b
c
d
16
2
25
2
9261
3
1296
4
3 __
−1
(
)
18
Write
as a fraction.
8
28
Insight Maths 9
Australian Curriculum
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