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.)
+=
-=-=-=-
=-=-
+=+