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Worksheets

Simplifying Radical Expressions

Total questions: 20

Worksheet time: 41mins

Name
Class
Date
1.

Simplify.

a)
b)
c)
d)
2.

 x7\sqrt{x^7}  

a)

x

b)

 x5xx^5\sqrt{x}  

c)

 x3xx^3\sqrt{x}  

d)

 x3x4x^3\sqrt{x^4}  

3.

Simplify.

a)
b)
c)
d)
4.

Simplify.

a)
b)
c)
d)
5.

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}  

6.

Simplify the expression:

a)

25x2y3

b)

-5xy2 ∛5x

c)

5ixy2 ∛5x

d)

-125x3y6 ∛5x

7.

Simplify the expression:

a)

3y4∜5x3y3

b)

9xy∜5xy3

c)

121.5x.75y1.75

d)

3y∜5x3y3

8.

Simplify:

a)

240

b)

300

c)

340

d)

360

9.
Simplify the expression:
a)
6x2y2 ∛3
b)
6xy2 ∛6x2
c)
∛1296x5y6
d)
cannot combine; unlike radicand
10.
Simplfiy
a)
5√2
b)
0
c)
2√2
d)
-3√2
11.
a)
3√3x
b)
3√x
c)
2√3x
d)
2√x
12.
Simplify the expression:
a)
√246x2
b)
3x√2 - 2x√3 + 6x
c)
7x√6
d)
7x√18
13.
Simplify the expression:
a)
√2 - 3√3
b)
2√-59
c)
-2√2 - 3√3
d)
-3.782
14.
Simplify
a)
9
b)
5√2 + 2
c)
10√2
d)
2√2 + 3√30
15.
Simplify the expression:
a)
12 - 3√10
b)
-18
c)
12 - 16√10 - 3√100
d)
-18 - 16√10
16.
What is the conjugate of the expression:
a)
2 + 3√7
b)
2 - 3√7
c)
-√7
d)
√7
17.

Simplify.

a)
b)
c)
d)
18.
Simplify:
a)
√5
b)
(√14)/2
c)
√7
d)
Cannot be simplified
19.
The square root of 25x6 is ?
a)
25x
b)
5x2
c)
5x3
d)
x3
20.
What is the value of 27⅓?
a)
27
b)
9
c)
3
d)
1/3