SOLUTION: Simplify sqrt(17) * sqrt(12) * sqrt(16) * sqrt(85) * sqrt(18) * sqrt(51).

Algebra ->  Radicals -> SOLUTION: Simplify sqrt(17) * sqrt(12) * sqrt(16) * sqrt(85) * sqrt(18) * sqrt(51).      Log On


   

Question 1209031: Simplify sqrt(17) * sqrt(12) * sqrt(16) * sqrt(85) * sqrt(18) * sqrt(51).
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


For all positive numbers a and b, sqrt(a)*sqrt(b) = sqrt(ab).

Use that multiple times to write the expression as a single square root and then find pairs of common factors.



sqrt%28%2817%29%2812%29%2816%29%2885%29%2818%29%2851%29%29

sqrt%28%2817%29%284%2A3%29%284%2A4%29%285%2A17%29%289%2A2%29%2817%2A3%29%29

sqrt%28%2817%2A17%2A17%29%289%29%285%29%284%2A4%2A4%29%283%2A3%29%282%29%29

%2817%2A3%2A2%2A2%2A2%2A3%29%2Asqrt%28%2817%29%285%29%282%29%29

1224sqrt%28170%29

ANSWER: 1224sqrt%28170%29