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Conversion from Radicals to Rational Expression

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Read the question carefully and choose the correct answer.

a)

A

b)

B

c)

C

d)

D

2.
a)
b)
c)
d)
3.

√24

a)

4√6

b)

2√6

c)

6√2

d)

2√12

4.

∛8

a)

2

b)

-2

c)

±2

d)

None

5.
a)
A
b)
B
c)
C
d)
D
6.
a)
2, 7
b)
2
c)
7
d)
No Solution
7.
a)

2352^{\frac{3}{5}}

b)

235-2^{\frac{3}{5}}

c)

2532^{\frac{5}{3}}

d)

858^5

8.

Simplify the expression; be sure to rationalize the denominator

a)

14√x

b)

(7√2x)/2

c)

7x

d)

14√2x

9.
a)
10z√(3xy)
b)
5z√(12xy)
c)
10√(3xyz2)
d)
3z√(10xy)
10.

Write the following expression in radical form:

a)

a.)

b)

b.)

c)

c.)

d)

d.)

11.

Write the following expression in exponential form:

a)

a.)

b)

b.)

c)

c.)

d)

d.)

12.

Write the following expression in exponential form:

a)

a.)

b)

b.)

c)

c.)

d)

d.)

13.
a)
x = 49
b)
x = 53
c)
x = 45
d)
x = 18
14.
a)

7

b)

5

c)

-7

d)

-5

15.
a)
125
b)
5
c)
25
d)
100
16.

Simplify.

a)

-25

b)

-5

c)

1/25

d)

1/5

17.

Which expression with a fractional exponent best represents √7 ?

a)

7 ½

b)

7¼

c)

7

d)

27

18.

Write the expression in exponential form. 

a)

A

b)

B

c)

C

d)

D

19.

Write each expression in exponential form.

a)

A

b)

B

c)

C

d)

D

20.
a)
44/3
b)
43/4
c)
24/3
d)
23/4