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Simplifying Radical Expressions

Total questions: 10

Worksheet time: 21mins

Name
Class
Date
1.
The square root of 36x2  is __________
a)
6
b)
6x
c)
4x
d)
6x2
2.
Simplify:
a)
2√12
b)
4√12
c)
4√3
d)
16√3
3.
Simplify: √(28xy²)
a)
2y√(7x)
b)
√(28xy²)
c)
y√(28x)
d)
7x√(2y)
4.
Simplify:      √121p5r7s4?
a)
11prs √pr
b)
11p4r6s2 √pr
c)
11p2r3s2 √pr
d)
11p2r3s2
5.
The square roots of all perfect squares are___________?
a)
integers or whole numbers
b)
irrational
c)
fractions
d)
divisible by 2
6.
The square root of 25x6 is ?
a)
25x
b)
5x2
c)
5x3
d)
x3
7.
Simplify:
a)
8x9
b)
8x3
c)
8x4√x
d)
8x3√x
8.
What is the value of 27⅓?
a)
27
b)
9
c)
3
d)
1/3
9.
Which expression with a fractional exponent best represents √7 ?
a)
7 ½
b)
7¼
c)
7⅓
d)
27
10.

Simplify the radical expression:
 2x2y3\sqrt{2x^2y^3}  

a)

 2yxy2y\sqrt{xy}  

b)

 2xy22x\sqrt{y^2}  

c)

 y2xyy\sqrt{2xy}  

d)

 xy2yxy\sqrt{2y}