Simplify by rationalizing each denominator.

1. 2/√3

A: 2√3 / 3

2. -18/√6

A: -3√6

3. 4√3 - 9√3

A: -5√3

4. √8 - 15√2

A: -13√2

5. √45 + √20

A: 5√5

6. 2√48 + 2√12

A: 12√3

Simplify each expression.

7. √162

A: 9√2

8. √50/9

A: (5√2)/ (3)

9. (√288) / (√8)

A: 6

10. (2√126) / (√14)

A: 6

11. The largest mosaic in the world is on the walls of the central library of the Universidad Nocional Autónoma de México in Mexico City. The mosaic depicts scenes from the nation's history and covers an area of 4000 m^2. If the entire mosaic were on one square wall, what would its dimensions be?

A: The dimensions would be 20√10 m^2 by 20√10 m^2.

1. 👍 0
2. 👎 0
3. 👁 182
1. 1. 2/√3

A: 2√3 / 3 yes

2. -18/√6

A: -3√6 yes

3. 4√3 - 9√3

A: -5√3 yes

4. √8 - 15√2

A: -13√2 yes

5. √45 + √20

A: 5√5 yes

6. 2√48 + 2√12
= 2 sqrt (4*12) + 2 sqrt 12
= 4 sqrt 12 + 2 sqrt 12
= 6 sqrt 12
= 12 sqrt 3

A: 12√3 so yes

Simplify each expression.

7. √162

A: 9√2 yes

8. √50/9

A: (5√2)/ (3) I guess so if it is really sqrt (50/9) and not (1/9) sqrt 50 as you wrote it

9. (√288) / (√8)

A: 6 yes

10. (2√126) / (√14)

A: 6 yes

1. 👍 0
2. 👎 0
posted by Damon

1. 👍 0
2. 👎 0
posted by Victoria
3. 11 yes

1. 👍 0
2. 👎 0
posted by Damon
4. Thank you!

1. 👍 0
2. 👎 0
posted by Victoria

## Similar Questions

1. ### geometry

simplify by rationalizing the denominator: 18 ``√6````

asked by hector sanchez on August 24, 2011
2. ### Math

Simplify 4sqrt6/sqrt30 by rationalizing the denominator

asked by Math on May 11, 2014
3. ### Algebra

Simplify 4*sqrt6/sqrt30 by rationalizing the denominator. 4√6/√30 4√(6/30) 4√(1/5) 4/√5 4√5/5 Am I right?

asked by Student on May 2, 2018
4. ### Algebra

1. Simplify the expression: 4√18+5√32 A.45√2 B.32√2 C.116√2 D.9√50 2. Simplify the expression: 7√5-3√80 A.-5√5 B.-4√75 C.-5 D.4√-75 3. Simplify the expression: √21(√3+√14) A.9√7-49√6 B.2√6+√35

asked by GummyBears16 on April 5, 2016
5. ### Algebra

Simplify 4sqrt6/ sqrt30 by rationalizing the denominator. Need help can someone show me steps on how to do this

asked by Lane on May 18, 2018
6. ### Algebra 2

simplify the radical expression by rationalizing the denominator. 4/*21 * means square root

asked by Henry on August 16, 2008
7. ### Math

asked by Jane on February 28, 2012
8. ### algebra

1. simplify the rational expression by rationalizing the denominator? 4 over sqrt 150 __________________ sqrt 189x

asked by Kay on May 1, 2017
9. ### Algebra B

1. simplify the rational expression by rationalizing the denominator? 4 over sqrt 150 __________________ sqrt 189x

asked by Kay on May 1, 2017
10. ### ALGEBRA

Simplify 4(sqrt)6/(sqrt)30 by rationalizing the denominator. Show how.

asked by Sandra on May 14, 2014

More Similar Questions