Simplify: ( sqrt (2) + sqrt (3) ) ( sqrt (2) – sqrt (3) )?

a) 2 – 2 sqrt (6) – 3

b) -1

c) 2 + 2 sqrt (6) – 3

d) 5

Simplify: 2 sqrt (3) + 4 sqrt (3)

a) 18

b) sqrt (9)

c) 8 sqrt (3)

d) 6 sqrt (3)

Simplify: sqrt (12) – sqrt (27)

a) – sqrt (15)

b) -5 sqrt (3)

c) -15 sqrt (3)

d) -sqrt (3)

Solve: sqrt (3)b + sqrt (2) = sqrt (7)b – 10

a) none

b) (3)

c) (-3)

d) (-4)

Solve: 4 sqrt (x) = 8 + 2 sqrt (x)

a) (-4)

b) (16)

c) none

d) (4)

Solve: t – sqrt (6)t – 9 = 0

a) (-3,3)

b) 0

c) (3)

d) (-3)

Solve: sqrt (t) – 1 + 3 = 9

a) (7)

b) none or 0

c) (35)

d) (37)

Solve: sqrt (m) + 7 = 5

a) none or 0

b) (-2)

c) (4)

d) (2)

simplify: sqrt (75)

a) (3) sqrt 5

b) (3) sqrt 25

c) (3) sqrt 2

d) (5) sqrt 3

6 Answers

  • Dude am i doing your home work for you????

    WDH i’m bored. Here goes.

    1. b

    2. d

    3. d

    4. a (Have reservations about this question’s format)

    5. b

    6. Either not correct or too complex for the scope of the remaining questions except you meant to write t^2 – sqrt (6)t – 9 = 0 in which case it is solved quadratically.

    7. b

    8. c

    9. d

  • Sqrt 2 Sqrt 3

  • Well, for the first one you get to FOIL!! And any day you get to FOIL is a good day!! (Remember that!) If you are not familiar with the FOIL technique, check out this video: http://www.youtube.com/watch?v=8h_lHZgVq_8

    After you do that on the first question, you end up with sqrt(2)*sqrt(2) + sqrt(3)*sqrt(3). Now, a square root is simply the opposite of a square…so if you are squaring a square root, you end up with the original number, right?

    This means that you have 2 + 3 = 5 for your first problem.

    For the rest of those problems, you need to look at the square root rules, http://www.mathwords.com/s/square_root_rules.htm.

    These rules allow you to break a square root down into the smallest numbers possible. Remember, a proper square root is an irrational number, which means that it can’t be broken down into any other combination of numbers.

  • 1) B

    2) D

    3) D

    4) A

    5) C

    6) A

    7) B

    8) A

    9) D

  • top one is SQRT + 4.

    like, the title one. 🙂

  • mmm… someone is too lazy to do their own homework 🙁

    http://answers.yahoo.com/question/index;_ylt=An49P…

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