SOLUTION: sqrt(3) times (sqrt(6)-sqrt(8) is the problem, so far I have come up with sqrt(18)-sqrt(24) which simplifies to sqrt(9)sqrt(2)-sqrt(4)sqrt(6) which then simplifies to 3sqrt(2)-2sq

Algebra ->  Radicals -> SOLUTION: sqrt(3) times (sqrt(6)-sqrt(8) is the problem, so far I have come up with sqrt(18)-sqrt(24) which simplifies to sqrt(9)sqrt(2)-sqrt(4)sqrt(6) which then simplifies to 3sqrt(2)-2sq      Log On


   



Question 599500: sqrt(3) times (sqrt(6)-sqrt(8) is the problem, so far I have come up with
sqrt(18)-sqrt(24) which simplifies to sqrt(9)sqrt(2)-sqrt(4)sqrt(6) which then simplifies to 3sqrt(2)-2sqrt(6) but I can't get any further.

Answer by w_parminder(53) About Me  (Show Source):
You can put this solution on YOUR website!
You are doing it right but made a mistake in understanding the question
actually sqrt(3) is multiplied with sqrt(6) only and not with sqrt(8)
sqrt(3)*(sqrt(6)-sqrt(8)
=
sqrt%2818%29-sqrt%288%29
which simplifies to
sqrt%289%29%2Asqrt%282%29-sqrt%284%29%2Asqrt%282%29
which is equal to
3%2Asqrt%282%29-2%2Asqrt%282%29
i.e. sqrt(2)