SOLUTION: {{{ sqrt(3a)(sqrt(12a) - 2sqrt(8a^2)) }}} Does the {{{ sqrt(3a) }}} distribute to the {{{ 2 }}} factor in the 2nd term or to just the {{{ sqrt(8a^2) }}} factor? Either

Algebra.Com
Question 1200110:
Does the distribute to the factor in the 2nd term or to just the
factor?
Either

or
???
Can you please give a complete explanation of this?
Thank you
jadams

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
The distributes to each term inside the second factor!

Your first step can be

, which simply follows according to Distributive Property.

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!


Does the  distribute to the  factor in the 2nd term or to just the  factor?
Either   
         or
          ???

Can you please give a complete explanation of this?
Thank you
jadams

The  is OUTSIDE of the parentheses, and  is in the parentheses. Therefore, the  MUST be 
distributed over the 2 monomials,  
We then get: 
           
           

Put them together to get: 

RELATED QUESTIONS

factor the following polynomial:... (answered by jim_thompson5910)
I need to completely factor... (answered by jim_thompson5910)
could someone explain to me how i should siplify sqare roots as such;... (answered by Alan3354)
Simplify (be sure to rationalize all denominators) 10. 3b[SQRT(27a^5b)] +... (answered by Earlsdon,jim_thompson5910)
sqrt( -7 )(sqrt( -4 ) - sqrt( 8 )) and I need to write the result in standard form... (answered by rapaljer)
Help!! I have to turn these in!! I'm not even sure where to begin! Simplify:... (answered by stanbon,sarah_adam)
Rationalize the denominator or simplify... (answered by funmath)
What´s the solution to: (3a-12a+8a-9b-7b+8b-11b+80) solution to:... (answered by JBarnum)
Please help me rationalize denominator and numerator {{{... (answered by stanbon)