Chapter 5 e X P O N e N T S a N D r O O T S 121
DeMYSTiFieD / algebra DeMYSTiFieD / HuttenMuller / 000-0 / Chapter 5
The root minus the power is 4 – 3 = 1, so we need another x^1 under the root.
4883 8
4 1
4 1
4
4 4
4
x
x
x
x
x
x
x
⋅==
Rationalize the denominator.
54 x 2
x
The root minus the power is 5 – 2 = 3, so we need another x^3 under the root.
5442 4 4
5 3
5 3
5 3
5 5
x^5353
x
x
x
xx
x
xx
x
⋅ ===x
7 223 22
7
7 3
7 4
7 4
7 4
7 7
7 4
x x
x
x
x
x
x
x
=⋅==
1
2
1
2
2
2
2
2
4
(^332)
3 2
3 2
3 22
3 3
3 2
xx
x
x
x
x
x
x
=⋅()==
() ()
yy yy
(^93)
3
3
27
3
27
(^5523)
5 3
5 3
5
5 5
5
=⋅==
4222 4 2 22
4 32
4 32
4 32
4 44
4 32
xy xy^44
xy
xy
xy
xy
xy
xy
=⋅==
()
==^2
(^4) xy^32
xy
PRACTICE
Rationalize the denominator.
- 362
x
2.^532
3.^1
(^5) ()x− 42
- x
(^4) x
PRACTICE
Rationalize the denominator.
PRACTICE
Rationalize the denominator.