# 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

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

WDH i’m bored. Here goes.

1. b

2. d

3. d

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 🙁