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Worksheets

Multiply and simplify radicals with variables

Total questions: 8

Worksheet time: 16mins

Name
Class
Date
1.
Simplify

√45n3
a)
3n√5n
b)
4n√8
c)
4n√-8
d)
10√n
2.
Simplify the radical...
√20a²b⁴
a)
2ab²√5
b)
4ab²√5
c)
5ab²√2
d)
2a²b²√5
3.
5√48x²
a)
10x√3
b)
15x√3
c)
20x√3
d)
25x√3
4.
-3√20x⁴y²
a)
-6x²y√5
b)
6xy√5
c)
-3xy√2
d)
3x²y√5
5.
Simplify:
√10 ⋅ √45
a)
3√50
b)
8√2
c)
√450
d)
15√2
6.
Simplify:
√10 ⋅ √45
a)
3√50
b)
8√2
c)
√450
d)
15√2
7.

 8xy42x2y4\sqrt{8xy^4}\cdot\sqrt{2x^2y^4}  

a)

 4y4x4y^4\sqrt{x}  

b)

 4xy4x4xy^4\sqrt{x}  

c)

 4xy8x4xy^8\sqrt{x}  

d)

 2xy42x2xy^4\sqrt{2x}  

8.

 14m57m7\sqrt{14m^5}\cdot\sqrt{7m^7}  

a)

 7m627m^6\sqrt{2}  

b)

 7m527m^5\sqrt{2}  

c)

 14m3714m^3\sqrt{7}  

d)

 7m77m^7