8 Part I: The Questions
9.
x y z
y z
3 4 5
2
8
−
10.
x
x y
x x
y
+
(
)
+
(
)
+
(
) +
(
)
3
5
3
5
2
4
14
6
17
11.
4
18
2 100
3
15 4 8
0
x y z
x y z
−
12.
x y z
x yz
x yz
4 3 2
2
4
2
+
13.
x y
y
z
xz
y
2 3
4
4
0
2
2
3
5
( ) ( )
( )
−
−
Simplifying Radicals
14–18 Simplify the given radicals. Assume all
variables are positive.
14. 50
15. 8 20
50 12
16. 20
5
4 6 11
2 7
x y z
xy z
Simplifying Fractions
1–13 Simplify the given fractions by adding,
subtracting, multiplying, and/or dividing.
1. 1
2
3
4
5
6
+ −
2. 11
3
3
5
17
20
+ +
3. 2
3
21 11
14
( ) ( ) ( )
4.
5 6
15 22
5. 5 7 10
2
yx x
x
y
+
+
6. x
x
x
x
−
− −
+
1
4
1
7. x
xy
y
x
2
2
3
1
1
−
+
8.
x
x
xy
x
x
x y
2
3
2
3 2
5
6
6
3
10
10
−
+
+
−
9.
x y z
y z
3 4 5
2
8
−
10.
x
x y
x x
y
+
(
)
+
(
)
+
(
) +
(
)
3
5
3
5
2
4
14
6
17
11.
4
18
2 100
3
15 4 8
0
x y z
x y z
−
12.
x y z
x yz
x yz
4 3 2
2
4
2
+
13.
x y
y
z
xz
y
2 3
4
4
0
2
2
3
5
( ) ( )
( )
−
−
Simplifying Radicals
14–18 Simplify the given radicals. Assume all
variables are positive.
14. 50
15. 8 20
50 12
16. 20
5
4 6 11
2 7
x y z
xy z
Simplifying Fractions
1–13 Simplify the given fractions by adding,
subtracting, multiplying, and/or dividing.
1. 1
2
3
4
5
6
+ −
2. 11
3
3
5
17
20
+ +
3. 2
3
21 11
14
( ) ( ) ( )
4.
5 6
15 22
5. 5 7 10
2
yx x
x
y
+
+
6. x
x
x
x
−
− −
+
1
4
1
7. x
xy
y
x
2
2
3
1
1
−
+
8.
x
x
xy
x
x
x y
2
3
2
3 2
5
6
6
3
10
10
−
+
+
−