<< 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

how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
Privacy Information Security Software Version 1.1a
Good
Two sisters like to compete on their bike rides. Tamara can go 4 mph faster than her sister, Samantha. If it takes Samantha 1 hours longer than Tamara to go 80 miles, how fast can Samantha ride her bike? Got questions? Get instant answers now!
Seera Reply
how do u solve that question
Seera
Two sisters like to compete on their bike rides. Tamara can go 4 mph faster than her sister, Samantha. If it takes Samantha 1 hours longer than Tamara to go 80 miles, how fast can Samantha ride her bike?
Seera
Speed=distance ÷ time
Tremayne
x-3y =1; 3x-2y+4=0 graph
Juned Reply
Brandon has a cup of quarters and dimes with a total of 5.55$. The number of quarters is five less than three times the number of dimes
ashley Reply
app is wrong how can 350 be divisible by 3.
Raheem Reply
June needs 48 gallons of punch for a party and has two different coolers to carry it in. The bigger cooler is five times as large as the smaller cooler. How many gallons can each cooler hold?
Susanna Reply
Susanna if the first cooler holds five times the gallons then the other cooler. The big cooler holda 40 gallons and the 2nd will hold 8 gallons is that correct?
Georgie
@Susanna that person is correct if you divide 40 by 8 you can see it's 5 it's simple
Ashley
@Geogie my bad that was meant for u
Ashley
Hi everyone, I'm glad to be connected with you all. from France.
Lorris Reply
I'm getting "math processing error" on math problems. Anyone know why?
Ray Reply
Can you all help me I don't get any of this
Jade Reply
4^×=9
Alberto Reply
Did anyone else have trouble getting in quiz link for linear inequalities?
Sireka Reply
operation of trinomial
Justin Reply
y=2×+9
Jacob Reply
Keshad gets paid $2,400 per month plus 6% of his sales. His brother earns $3,300 per month. For what amount of total sales will Keshad’s monthly pay be higher than his brother’s monthly pay?
Hector Reply
Mayra has $124 in her checking account. She writes a check for $152. What is the New Balance in her checking account?
REVOLUTION Reply
-28$
ashley
-$28
Stephanie
Practice Key Terms 1

Get the best Elementary algebra course in your pocket!





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