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

Question

Simplify the following expressions:

( (\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 for ( b ) in the equation ( \sqrt{3}b + \sqrt{2} = \sqrt{7}b - 10 )
   a) none
   b) ( 3 )
   c) ( -3 )
   d) ( -4 )

Solve for ( x ) in the equation ( 4\sqrt{x} = 8 + 2\sqrt{x} )
   a) ( -4 )
   b) ( 16 )
   c) none
   d) ( 4 )

Solve for ( t ) in the equation ( t - \sqrt{6}t - 9 = 0 )
   a) ( (-3, 3) )
   b) ( 0 )
   c) ( 3 )
   d) ( -3 )

Solve for ( t ) in the equation ( \sqrt{t} - 1 + 3 = 9 )
   a) ( 7 )
   b) none or ( 0 )
   c) ( 35 )
   d) ( 37 )

Solve for ( m ) in the equation ( \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} )

Anonymous · Accepted Answer

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

Imogene Parisian · Answer

Sqrt 2 Sqrt 3

Anonymous · Answer

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.

Anonymous · Answer

1) B
2) D
3) D
4) A
5) C
6) A
7) B
8) A
9) D

Candido Schoen · Answer

top one is SQRT + 4.
like, the title one. ?

Anonymous · Answer

mmm… someone is too lazy to do their own homework ?
http://answers.yahoo.com/question/index;_ylt=An49P…

Anonymous

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

6 Answers

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