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Mathorio

Worksheet

Rationalizing Denominators

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Class:

Date:

Show your work for each problem.

1.
What should you multiply by to rationalize the denominator?
1. a)
2. b)
3. c)
4. d)
2.
Rationalize: . Enter your answer in the form as sqrt(a)/b.
3.
What is the conjugate of ?
1. a)
2. b)
3. c)
4. d)
4.
Rationalize:
5.
Rationalize: . Enter your answer in the form as a*sqrt(b).
6.
What is ?
1. a)
2. b)
3. c)
4. d)
7.
Rationalize:
8.
Rationalize: . Enter as: a - b*sqrt(c) or a + b*sqrt(c).
9.
What is the rationalized form of ?
1. a)
2. b)
3. c)
4. d)
10.
Rationalize:
11.
Rationalize: . Enter as: (a*sqrt(b) - c*sqrt(d))/e.
12.
Rationalize:
13.
What is ?
1. a)
2. b)
3. c)
4. d)
14.
Rationalize:
15.
Rationalize: . Enter as: (a*sqrt(b) + c*sqrt(d))/e.
16.
Which expression is in rationalized form?
1. a)
2. b)
3. c)
4. d)