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. 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

posted by Damon

posted by Victoria
3. 11 yes

posted by Damon
4. Thank you!

posted by Victoria

First Name

## Similar Questions

Can you check my answers? 1. 3√20/√4 = 3√(5)(4)/2 = 3(2)√5/2 = 3√5 2. 4√15/√9 = 4√15/3 3. √12/√16 = √4(3)/4 = 2√3/4 = √3/2 4. √10/√5 =
2. ### 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:
3. ### Algebra - Check My Work

For Question 1-8 Simplify the Radical Expression *** - My Answer 1.√45 3√5*** 2.√180x^2 6x√5*** 3.√150x^3 k^4 5xk^2√6x*** 4.√21y * 5√49y 35y√21*** 5.(The square root sign
4. ### Math

Find an equation of the line that bisects the obtuse angles formed by the lines with equations 3x-y=1 and x+y=-2. a. (3√2 +√10)x-(√10 + √2)y-2√10+√2=0 b. (3√2 - √10)x+(√10 -
5. ### Algebra

How would i complete these problems? 1. (√6mn)^5 2. ^3√16x - ^3√2x^4 3.^4√x • ^3√2x 4. ^3√72x^8 5. √63a^5b • √27a^6b^4 and are these problems correct? 6. √2025xy/3√3
6. ### Algebra Work Check

1. 5√6 * 1/6√216 5/6 * √1296 5/6 * √144 * √9 = 30 2. -9√28a^2 * 1/3√63a -3√1764a^3 -3√49a^2 * √36a -3*7a*6√a = -126a√a