Revised October 14, 2013
INSTRUCTIONS: Read the references found on the Background Info page. Study the examples there, and the ones given below. Work out the problems, showing all the computational steps. This is particularly important for those problems where the answers are given. On those problems, the correct procedure is the only thing that counts toward the assignment grade.
The basic reference is Stapel (2012), listed on the Background Info page. Links to specific parts of the reference are given below.
SIMPLIFYING RADICALS
Read: http://www.purplemath.com/modules/radicals.htm
Examples:
In problems 1 through 5, simplify the radicals.
ADDING RADICAL EXPRESSIONS
Read: http://www.purplemath.com/modules/radicals3.htm
Simplify the following expressions as required, and add or subtract.
Examples:
In problems 6 through 10, simplify the expressions, then add or subtract as indicated.
MULTIPLYING RADICAL EXPRESSIONS
Read: http://www.purplemath.com/modules/radicals2.htm
Multiply the coefficients and radicands of expressions having the same indices. Simplify.
Examples:
In problems 11 through 15, multiply and simplify.
DIVIDING RADICAL EXPRESSIONS
Read: http://www.purplemath.com/modules/radicals4.htm
Rationalize the denominator by multiplying the numerator and denominator by an appropriate factor. Divide the coefficients.
In problems 16 through 20, divide.
117
6.5120Ans:5
222
7.2x73x7
8.21227
9.43675
10.2y8z
+
+
+
-
+
(
)
(
)
(
)
33
E6:2221(2)222(2)4
E7:22382(3)286166(4)24
E8:22224(22) (Can't multiply radicands
with different indices.)
===
====
=
(
)
117
11.5120Ans:5
222
12.2x7(3x7)
13.212(27)
14.43(26)
15.2y8z
æö
ç÷
èø
(
)
(
)
1122
E9:
2
222
676756756
E10:35
55
555
312
121231
E11:36
33
333
æö
==
ç÷
ç÷
èø
æö
===
ç÷
ç÷
èø
+
æö
++
===+
ç÷
ç÷
èø
17
16.Ans:
7
7
35
17.Ans:
5
15
12
18.
8
205
19.
10
123
20.
3
+
-
E1:84(2)4222
E2:7525(3)25353
===
===
1.27Ans:33
2.64
3.98
4.11
5.4
-
33
E3:22232
E4:22382234222342223(2)2
226242
E5:22222222 (Can't add expressions with
different indices.)
+=
-=-=-=-
=-=-
+=+
willie.middlebrooks30
module__case_2_instr..docx
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