Radical Equations: Solving and Rationalizing Roots, Exercises of Calculus

A set of exercises for solving radical equations, including combining and splitting roots using multiplication and division, and rationalizing the denominator when there are no roots in the bottom. Students are expected to simplify the expressions after performing these operations.

Typology: Exercises

2012/2013

Uploaded on 01/31/2013

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Advanced Algebra Ch. 5 Name_____________
Radical Review
For each pair inside, one comes out
Combine/split roots using multiplication & division
No roots in bottom “rationalize” by multiplying top & bottom by same thing
Simplify.
1.
12
2. 80 3. 75
4.
700
5.
4
16a
6.
4 10
36x y
7.
5 3 12
9x y z
8.
45
12a b
9.
4 7 11
33x y z
10.
54
81c d
11.
12.
20 3
50x y
13.
7 14
14.
4533
15.
12 5 24
pf3

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Advanced Algebra Ch. 5 Name_____________ Radical Review

  • For each pair inside, one comes out
  • Combine/split roots using multiplication & division
  • No roots in bottom – “rationalize” by multiplying top & bottom by same thing

Simplify.

  1. 12 2. 80 3. 75
  2. 700 5. 16a^4 6. 36x y^4
  3. (^) 9x y z^5 3 12 8. 12a b^4 5 9. (^) 33x y z^4 7
  4. 81c d^5 4 11. 300xy^5 12. 50x 20 y^3
  1. 10  2 8 17. 3x  4x 18. 6x  16x^2