Surds And Indices Page 26
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
2812
Simplify the following.
__
__
__
__
___
8 × 5
8 × 2
4 × 5
√
√
√
√
√
a
b
c
2
2
6
3
10
__
__
__
__
__
__
__
__
__
__
7 +
5 − 3
3 + 2
3 −
√
√
√
√
√
√
√
√
√
√
d
e
f
5 (
2 )
3
2 (2
3 )
(
2 )(2
2 )
__
__
__
6 + 3) (
6 − 3)
7 + 4)
√
√
√
g
h
(
(3
2
13
Rationalise the denominator of:
__
√
3
1
____
_____
a
___
b
___
√
√
10
2
10
__
__
2 + 1)(
2 − 1).
√
√
a
14
Expand and simplify (
1
______
b
__
Hence rationalise the denominator of
.
2 + 1
√
15
Write each of the following as a surd.
1 __
1 __
3 __
2 __
a
b
c
d
k
k
k
k
3
5
4
3
16
Write the following in index form.
___
__
_
__
√
√
a
b
c
d
3
z
y
m
5
y
2
3
√
√
17
Evaluate the following.
1 __
4 __
2 __
5 __
a
b
c
d
4
25
8
343
2
3
3
2
−1
5 __
(
)
18
Write
as a fraction.
4
11B
Review set
1
Find the following where possible.
___
___
____
__
−
−36
√
√
√
√
a
b
c
d
e
Square root of 36
36
36
0
2
Convert the following rational numbers to decimals.
5 _
2 _
1 _
a
b
c
d
49%
4
8
3
2
a __
3
Show that the following are rational numbers, by expressing them in the form
.
b
.
1 _
a
b
c
d
3
4
0.27
0.
3
3
4
Determine whether the following real numbers are rational or irrational.
__
___
___
√
√
__
5 __
16 ___
−5.2
√
√
a
b
c
d
e
7
36
8
9
5
Simplify the following.
__
__
__
__
__
__
5 ×
7 × 6
√
√
√
√
√
√
a
b
c
d
(
3 )
2
(5
3 )
2
6
2
2
6
Express the following in simplest form.
__
___
__
__
__
__
8 ×
8 ×
√
√
√
√
√
√
a
b
c
d
8
45
2
6
__
7
Express the following in the form
n .
√
__
__
√
√
a
b
2
7
4
3
8
Simplify the following.
__
___
___
___
√
√
9 __
11 ___
√
√
7 _
1 _
a
b
c
d
1
3
9
4
4
4
___
___
___
___
√
√
√
√
18
24
24
45
____
____
____
____
e
__
f
__
g
__
h
__
√
√
√
√
6
6
2
5
26
Insight Maths 9
Australian Curriculum
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education