Worksheetssurds
Total questions: 16
Worksheet time: 16mins
Name
Class
Date
1.
Do you think
(3)(4) is equal to 3×4 ?a)
Yes
b)
No
2.
Simplify completely.
a)
2√3
b)
-8√3
c)
2√6
d)
-8√6
3.
In between what two integers is the square root of 77?
a)
5 and 6
b)
6 and 7
c)
7 and 8
d)
8 and 9
4.
Simplify fully:
√32 + 5√32
√32 + 5√32
a)
6√32
b)
24√8
c)
24√2
d)
6√8
5.
Which one is the best one to multiply by to rationalise this denominator:
7 /3√6
a)
√6
b)
3√6
c)
2√3
d)
3 - √6
6.
Simplify:
√5 x √6
√5 x √6
a)
2√15
b)
√11
c)
√30
d)
3√10
7.
Simplify fully:
√32
√32
a)
4√8
b)
16√2
c)
4√2
d)
4√4
8.
Simplify:
2√3 x 3√11
a)
2√33
b)
6√33
c)
5√14
d)
6√14
9.
Simplify the following surd...
a)
5√5
b)
3√5
c)
15√3
d)
5√3
10.
Rationalise the Denominator:
3/√5
3/√5
a)
3√5/5
b)
3√5/25
c)
√5/5
d)
√5/3
11.
SImplify:
a)
5√6
b)
25√6
c)
√150
d)
10√15
12.
Simplify fully:
2√45 - 5√45 + 9√16
2√45 - 5√45 + 9√16
a)
-9√5 + 36
b)
-3√45 + 144
c)
6√16
d)
6√106
13.
Expand and simplify ...
(2 + √3)(1 + √3)
a)
5 + 3√3
b)
2 + 3√3
c)
5 + √3
d)
11 + 3√3
14.
1. If a and b are positive integers, which of the following is/are correct?
I.a2+b2=a+b
II.a2b2=ab
III.2a2b×6a3b=2a2b3a
a)
II only
b)
III only
c)
II and III only
d)
I, II and III
15.
2√5 - √5 + 4√5 + √3
a)
6√5 + √3
b)
5√5 + √3
c)
6√5
d)
6√3
16.
Simplify fully:
√32 + √12
√32 + √12
a)
4√2 +2√3
b)
6√5
c)
√44
d)
2√11
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