Algebra 2 Answer Check

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Simplify by rationalizing each denominator.

1. 2/√3

A: 2√3 / 3

2. -18/√6

A: -3√6

Add or subtract.

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.

  • Algebra 2 Answer Check -

    1. 2/√3

    A: 2√3 / 3 yes

    2. -18/√6

    A: -3√6 yes

    Add or subtract.

    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

  • Algebra 2 Answer Check -

    What about #11?

  • Algebra 2 Answer Check -

    11 yes

  • Algebra 2 Answer Check -

    Thank you!

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