Chapter 9 Radical Functions

SSM: Intermediate Algebra Homework 9.3
35.
4
4
4 4
=
9x
9x
2 4 2
4
4 2
=
4
⋅
9x
9x
9x
4 2 4 2
41.
2 2 4 − 7
= ⋅
4 + 7 4 + 7 4 − 7
2⋅ 4 − 2⋅
7
=
( 4) 2
− ( 7 ) 2
=
=
4 2
4 ⋅9x
4 2 2
9x
⋅9x
4 2
36x
4 4
81x
8 − 2 7
=
16 − 7
=
8 − 2 7
9
37.
39.
5
=
6
=
4 2 2
6 x
3x
2/ 4 2/ 4
x
3x
1/ 2 1/ 2
6 x
=
3x
=
6x
3x
5
3 3
=
4x
4x
4 5 4
5 5
3 8x
= ⋅
5 4 5
4x
8x
=
=
=
5
5 4
5
5 5
5
3⋅8x
4x
⋅8x
24x
32x
24x
2x
1 1 5 − 3
= ⋅
5 + 3 5 + 3 5 − 3
=
1⋅5 −1⋅
3
( 5) 2
− ( 3) 2
43.
45.
47.
1 1 x + 7
= ⋅
x − 7 x − 7 x + 7
=
1⋅
x + 1⋅7
( x ) − ( 7)
x + 7
=
x − 49
2 2
x x x + 1
= ⋅
x −1 x − 1 x + 1
=
x ⋅ x + x ⋅1
( x ) − ( 1)
x + x
=
x −1
2 2
3 x 3 x 4 x + 5
= ⋅
4 x − 5 4 x − 5 4 x + 5
3 x ⋅ 4 x + 3 x ⋅5
=
( 4 x ) − ( 5)
2
( x ) +
2
2
( x ) −
2 2
12 15 x
=
4 25
12x
+ 15 x
=
16x
− 25
5 − 3
=
25 − 3
=
5 − 3
22
283