Chapter 9 Radical Functions

Chapter 9 Review Exercises
SSM: Intermediate Algebra
2 2
17. ( x + 1)( x − 1) = ( x ) −( 1)
= x −1
2 2
18. ( 3 x + 4)( 3 x − 4) = ( 3 x ) − ( 4)
= 9x
−16
2 2 2
3 3 3
19. ( 2 x + 5) = ( 2 x ) + 2( 2 x )( 5) + ( 5)
3 2 3
= 4 x + 20 x + 25
2 2 2
20. ( 5 x − 2) = ( 5 x ) − 2( 5 x )( 2) + ( 2)
21.
22.
23.
4
5
= 25x
− 20 x + 4
1/ 4 1/ 5
x x = x ⋅ x
= x
= x
= x
=
1 1
+
4 5
5 4
+
20 20
9/ 20
20 9
x
3 6 3 1/ 6
4
6
x =
=
1/ 6
( x )
= x
= x
=
x x
=
x x
= x
= x
= x
=
12
18
x
1 1
⋅
6 3
1/ 4
1/ 6
1/18
x
1 1
−
4 6
3 2
−
12 12
1/12
x
1/ 3
24.
x x 2
= ⋅
2 2 2
=
=
x
2
2⋅
2
x 2
2
25. 3 =
3 x x
3
= ⋅
x
26.
27.
=
=
3⋅
x
x ⋅ x
3x
x
x
x
3 2
5 5 x
= ⋅
x x x
3 3 3 2
5
=
5
5
=
3 2
x
3 2
x ⋅ x
3 2
5 x
=
3 3
x
3 2
x
x
5
7 7
=
27x
27x
2 5 2
5
5 3
=
7
⋅
9x
27x
9x
=
=
=
5 2 5 3
5 3
7 ⋅9x
5 2 3
27x
⋅9x
5 3
63x
5 5
243x
5 3
63x
3x
302