posted by Victoria

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. Damon

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

2. Victoria

3. Damon

11 yes

4. Victoria

Thank you!

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