Algebra Demystified 2nd Ed

(Marvins-Underground-K-12) #1
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.



  1. 362
    x
    2.^532
    3.^1


(^5) ()x− 42



  1. x


(^4) x
PRACTICE
Rationalize the denominator.
PRACTICE
Rationalize the denominator.

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