<< Chapter < Page Chapter >> Page >


( x 8 y 10 ) 1 2
( a 9 b 12 ) 1 3

Got questions? Get instant answers now!


( r 8 s 4 ) 1 4
( u 15 v 20 ) 1 5

r 2 s u 3 v 4

Got questions? Get instant answers now!


( a 6 b 16 ) 1 2
( j 9 k 6 ) 2 3

Got questions? Get instant answers now!


( r 16 s 10 ) 1 2
( u 10 v 5 ) 4 5

r 8 s 5 u 8 v 4

Got questions? Get instant answers now!


r 5 2 · r 1 2 r 3 2
s 1 5 · s s 9 5

Got questions? Get instant answers now!


a 3 4 · a 1 4 a 10 4
b 2 3 · b b 7 3

a 3 b 4

Got questions? Get instant answers now!


c 5 3 · c 1 3 c 2 3
d 3 5 · d d 2 5

Got questions? Get instant answers now!


m 7 4 · m 5 4 m 2 4
n 3 7 · n n 4 7

m n 2

Got questions? Get instant answers now!

( 64 s 3 5 ) 1 6

2 s 1 10

Got questions? Get instant answers now!

( u 12 v 18 ) 1 6

u 2 v 3

Got questions? Get instant answers now!

Everyday math

Landscaping Joe wants to have a square garden plot in his backyard. He has enough compost to cover an area of 144 square feet. Simplify 144 1 2 to find the length of each side of his garden.

Got questions? Get instant answers now!

Landscaping Elliott wants to make a square patio in his yard. He has enough concrete to pave an area of 242 square feet. Simplify 242 1 2 to find the length of each side of his patio.Round to the nearest tenth of a foot.

15.6 feet

Got questions? Get instant answers now!

Gravity While putting up holiday decorations, Bob dropped a decoration from the top of a tree that is 12 feet tall. Simplify 12 1 2 16 1 2 to find how many seconds it took for the decoration to reach the ground. Round to the nearest tenth of a second.

Got questions? Get instant answers now!

Gravity An airplane dropped a flare from a height of 1024 feet above a lake. Simplify 1024 1 2 16 1 2 to find how many seconds it took for the flare to reach the water.

8 seconds

Got questions? Get instant answers now!

Writing exercises

Show two different algebraic methods to simplify 4 3 2 . Explain all your steps.

Got questions? Get instant answers now!

Explain why the expression ( −16 ) 3 2 cannot be evaluated.

Got questions? Get instant answers now!

Section 9.1 Simplify and Use Square Roots

Simplify Expressions with Square Roots

In the following exercises, simplify.

Estimate Square Roots

In the following exercises, estimate each square root between two consecutive whole numbers.

Approximate Square Roots

In the following exercises, approximate each square root and round to two decimal places.

Simplify Variable Expressions with Square Roots

In the following exercises, simplify.

Section 9.2 Simplify Square Roots

Use the Product Property to Simplify Square Roots

In the following exercises, simplify.

108 r 5 s 3

6 r 2 s 3 r s

Got questions? Get instant answers now!

Use the Quotient Property to Simplify Square Roots

In the following exercises, simplify.

36 r 10 16 r 5

3 r 2 r 2

Got questions? Get instant answers now!

12 r 5 s 7 75 r 2 s

2 r s 3 r 5

Got questions? Get instant answers now!

Section 9.3 Add and Subtract Square Roots

Add and Subtract Like Square Roots

In the following exercises, simplify.

8 13 + 2 3 + 3 13

11 13 + 2 3

Got questions? Get instant answers now!

3 5 x y 5 x y + 3 5 x y

Got questions? Get instant answers now!

2 3 r s + 3 r s 5 r s

3 3 r s 5 r s

Got questions? Get instant answers now!

Add and Subtract Square Roots that Need Simplification

In the following exercises, simplify.

6 18 n 4 3 8 n 4 + n 2 50

17 n 2 2

Got questions? Get instant answers now!

Section 9.4 Multiply Square Roots

Multiply Square Roots

In the following exercises, simplify.

( 6 2 y ) ( 3 50 y 3 )

180 y 2

Got questions? Get instant answers now!

Use Polynomial Multiplication to Multiply Square Roots

In the following exercises, simplify.

10 ( 2 7 )

20 10 7

Got questions? Get instant answers now!

( 5 + 2 ) ( 3 2 )

13 2 2

Got questions? Get instant answers now!

( 5 3 7 ) ( 1 2 7 )

Got questions? Get instant answers now!

( 1 3 x ) ( 5 + 2 x )

5 13 x 6 x

Got questions? Get instant answers now!

( 3 + 4 y ) ( 10 y )

Got questions? Get instant answers now!

( 1 + 6 p ) 2

1 + 12 p + 36 p

Got questions? Get instant answers now!

( 3 + 2 7 ) ( 3 2 7 )

−19

Got questions? Get instant answers now!

Section 9.5 Divide Square Roots

Divide Square Roots

Questions & Answers

what is mutation
Janga Reply
what is a cell
Sifune Reply
how is urine form
Sifune
what is antagonism?
mahase Reply
classification of plants, gymnosperm features.
Linsy Reply
what is the features of gymnosperm
Linsy
how many types of solid did we have
Samuel Reply
what is an ionic bond
Samuel
What is Atoms
Daprince Reply
what is fallopian tube
Merolyn
what is bladder
Merolyn
what's bulbourethral gland
Eduek Reply
urine is formed in the nephron of the renal medulla in the kidney. It starts from filtration, then selective reabsorption and finally secretion
onuoha Reply
State the evolution relation and relevance between endoplasmic reticulum and cytoskeleton as it relates to cell.
Jeremiah
what is heart
Konadu Reply
how is urine formed in human
Konadu
how is urine formed in human
Rahma
what is the diference between a cavity and a canal
Pelagie Reply
what is the causative agent of malaria
Diamond
malaria is caused by an insect called mosquito.
Naomi
Malaria is cause by female anopheles mosquito
Isaac
Malaria is caused by plasmodium Female anopheles mosquitoe is d carrier
Olalekan
a canal is more needed in a root but a cavity is a bad effect
Commander
what are pathogens
Don Reply
In biology, a pathogen (Greek: πάθος pathos "suffering", "passion" and -γενής -genēs "producer of") in the oldest and broadest sense, is anything that can produce disease. A pathogen may also be referred to as an infectious agent, or simply a germ. The term pathogen came into use in the 1880s.[1][2
Zainab
A virus
Commander
Definition of respiration
Muhsin Reply
respiration is the process in which we breath in oxygen and breath out carbon dioxide
Achor
how are lungs work
Commander
where does digestion begins
Achiri Reply
in the mouth
EZEKIEL
what are the functions of follicle stimulating harmones?
Rashima Reply
stimulates the follicle to release the mature ovum into the oviduct
Davonte
what are the functions of Endocrine and pituitary gland
Chinaza
endocrine secrete hormone and regulate body process
Achor
while pituitary gland is an example of endocrine system and it's found in the Brain
Achor
what's biology?
Egbodo Reply
Biology is the study of living organisms, divided into many specialized field that cover their morphology, physiology,anatomy, behaviour,origin and distribution.
Lisah
biology is the study of life.
Alfreda
Biology is the study of how living organisms live and survive in a specific environment
Sifune
Got questions? Join the online conversation and get instant answers!
Jobilize.com Reply
Practice Key Terms 1

Get Jobilize Job Search Mobile App in your pocket Now!

Get it on Google Play Download on the App Store Now




Source:  OpenStax, Elementary algebra. OpenStax CNX. Jan 18, 2017 Download for free at http://cnx.org/content/col12116/1.2
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Elementary algebra' conversation and receive update notifications?

Ask