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Simplifying Radical Expressions

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.

Simplify.

a)
b)
c)
d)
2.

Simplify

a)
b)
c)
d)
3.

Simplify.

a)
b)
c)
d)
4.

Simplify.

a)
b)
c)
d)
5.

Simplify.

a)
b)
c)
d)
6.

Simplify.

a)
b)
c)
d)
7.

Simplify the radical expression:
 128a3b4\sqrt{128a^3b^4}  

a)

 8ab22a8ab^2\sqrt{2a}  

b)

 2a8ab22a\sqrt{8ab^2}  

c)

 2ab64ab2ab\sqrt{64ab}  

d)

 64ab22a64ab^2\sqrt{2a}  

8.

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}  

9.

Simplify the radical expression:
 x3y5z2\sqrt{x^3y^5z^2}  

a)

 xy2zxy^2z  

b)

 x2y4z2xyx^2y^4z^2\sqrt{xy}  

c)

 xy2zxyxy^2z\sqrt{xy}  

d)

 xyzxyxyz\sqrt{xy}  

10.

Simplify the radical expression:
 256a2b22\sqrt{56a^2b^2}  

a)

 4ab144ab\sqrt{14}  

b)

 2ab142ab\sqrt{14}  

c)

 14ab2ab14ab\sqrt{2ab}  

d)

 142ab14\sqrt{2ab}