SOLUTION: I need to simpfifly radical expressions(no calculator) 1. 2sqrt(75) + sqrt(108) 2. sqrt(6)( sqrt(3)+5 sqrt(2) ) 3. (3- sqrt(2)(3 + sqrt(2) ) 4. 3 sqrt(2) ------

Question 312691: I need to simpfifly radical expressions(no calculator)
1. 2sqrt(75) + sqrt(108)

2. sqrt(6)( sqrt(3)+5 sqrt(2) )
3. (3- sqrt(2)(3 + sqrt(2) )
4. 3 sqrt(2)
---------
5+ sqrt(3)
5.sqrt(5x+1)+2=6

please show me how you get thee answers
thank you! p.s. number 4. the --- is the division line
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
I need to simplifly radical expressions(no calculator)
1.
Factor inside the radicals to reveal perfect squares

Extract the squares

these are like terms so we just add them

:
2.
multiply what's inside the brackets

Factor to reveal perfect squares

Extract those squares

:
3.
FOIL

Middle terms cancel
9 - 2 = 7
:
4.
multiply by the conjugate of the denominator over itself
: * = =
:
5.
subtract 2 from both sides

Square both sides
5x + 1 = 16
5x = 16 - 1
5x = 15
x = 3
:
You can check solution in the original equation
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