Question 710081
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