SOLUTION: simplify {{{ sqrt( 24 )- sqrt( 96 )+ sqrt( 6 )}}}

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Question 710081: simplify +sqrt%28+24+%29-+sqrt%28+96+%29%2B+sqrt%28+6+%29
Answer by tjansen(4) About Me  (Show Source):
You can put this solution on YOUR website!
simplify sqrt(24)- sqrt(96)+ sqrt(6) Change notation
=sqrt(4*6)-sqrt(16*6)+sqrt(6) Factor numbers within the sqrt sign
=sqrt(4)*sqrt(6)-sqrt(16)*sqrt(6)+sqrt(6) sqrt of product = product of sqrts
=2sqrt(6)-4sqrt(6)+sqrt(6) Sqrt(4)=2 and Sqrt(16)=4
=(2-4+1)sqrt(6) Factor out sqrt(6)
=-(1)sqrt(6) Combine terms. Simplest form because sqrt(6)=sqrt(2)sqrt(3) are irrational