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Surds Review 10 A

Total questions: 18

Worksheet time: 50mins

Name
Class
Date
1.
Simplify fully: 
√32
a)
4√8
b)
16√2
c)
4√2
d)
4√4
2.
Simplify fully: 
√32 + 5√32
a)
6√32
b)
24√8
c)
24√2
d)
6√8
3.
Simplify fully: 
√32 + √12
a)
4√2 +2√3
b)
6√5
c)
√44
d)
2√11
4.
Write the following entirely as a surd:
2√5
a)
√20
b)
√10
c)
√50
d)
√100
5.
Simplify completely:
√27 + 2√3
a)
5√3
b)
√27 + 2√3
c)
11√3
d)
2√81
6.
2√5 - √5 + 4√5 + √3
a)
6√5 + √3
b)
5√5 + √3
c)
6√5
d)
6√3
7.
Simplify: 
√5 x √6
a)
2√15
b)
√11
c)
√30
d)
3√10
8.
a)

A

b)

B

c)

C

d)

D

9.

Expand and simplify ...


(2 + √3)(1 + √3)

a)

5 + 3√3

b)

2 + 3√3

c)

5 + √3

d)

11 + 3√3

10.
What is a rational number ?
a)
A rational number  is a number that cannot be written as a fraction.
b)
A rational number is a number that can be written as a ratio.
c)
A rational number cannot be a repeating  decimal.
11.
a)
A
b)
B
c)
C
d)
D
12.
a)
A
b)
B
c)
C
d)
D
13.
a)
A
b)
B
c)
C
d)
D
14.
a)
A
b)
B
c)
C
d)
D
15.

Fully simplify...

a)
b)
c)
d)
16.

 3xy25xy3\frac{\sqrt{3xy^2}}{\sqrt{5xy^3}}  Rationalize the denominator of the expression. Assume that all variables are positive.

a)

 15y5y\frac{\sqrt{15y}}{5y}  

b)

 35y5y\frac{3\sqrt{5y}}{5y}  

c)

 5y5y\frac{\sqrt{5y}}{5y}  

d)

 15yy\frac{\sqrt{15y}}{y}  

17.

 325+6\frac{3-\sqrt{2}}{5+\sqrt{6}}  

a)

 153652+2311\frac{15-3\sqrt{6}-5\sqrt{2}+2\sqrt{3}}{-11}  

b)

 153652+1215-3\sqrt{6}-5\sqrt{2}+\sqrt{12}  

c)

 15+36+5223-15+3\sqrt{6}+5\sqrt{2}-2\sqrt{3}  

d)

can't be done

18.

Rate your understanding of Surds

a)

Excellent

b)

Very Good

c)

Pretty Good

d)

Ok

e)

What's a Surd?