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WorksheetsYear 10 Surds
Total questions: 17
Worksheet time: 1hrs 1mins
Name
Class
Date
1.
Simplify the following surd...
a)
6√2
b)
2√6
c)
8√2
d)
4√6
2.
Simplify the following surd...
a)
7√2
b)
3√5
c)
9√3
d)
3√3
3.
Simplify as much as possible:
3√8
3√8
a)
6√2
b)
√72
c)
12√2
d)
6√4
4.
Simplify by rationalizing the denominator:
(Hint: rewrite without a surd on the denominator)
a)
b)
c)
d)
5.
Expand and simplify ...
(2 + √3)(3 + √3)
a)
9 + 5√3
b)
6 + 6√3
c)
9 + √3
d)
15 + 5√3
6.
What type of number is π ?
a)
Rational
b)
Irrational
7.
Simplify fully:
√32 + √12
√32 + √12
a)
4√2 +2√3
b)
6√5
c)
√44
d)
2√11
8.
Which statement relating to surds is incorrect?
a)
Surds are irrational numbers.
b)
The four operations can be performed on surds.
c)
Surds can be written as fractions.
d)
The radical sign acts as a grouping symbol.
9.
√3
a)
rational
b)
irrational
10.
Simplify:
√6 x √6
√6 x √6
a)
√36
b)
2√3
c)
12
d)
6
11.
A fraction is which type of number?
a)
Rational
b)
Irrational
12.
The square root of 57 is ...
a)
rational
b)
irrational
13.
Simplify completely:
2√3 + 4√3
2√3 + 4√3
a)
6√3
b)
6√6
c)
8√3
d)
8√6
14.
Simplify completely:
√27 + 2√3
√27 + 2√3
a)
5√3
b)
√27 + 2√3
c)
11√3
d)
2√81
15.
Simplify:
√5 x √6
√5 x √6
a)
2√15
b)
√11
c)
√30
d)
3√10
16.
Simplify fully:
√120
√120
a)
4√30
b)
2√30
c)
12√10
d)
6√10
17.
Simplify √ 18
a)
√9 x √2
b)
2√9
c)
9√2
d)
3√2
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